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The first volume of the sixth grade solves mathematical problems.
The sixth grade math application problem 1, two cars, A and B, leave relatively from AB at the same time. A walked 5/ 1 1 of the whole journey. If A drives at a speed of 4.5 kilometers per hour, B drives for 5 hours. How many kilometers are AB apart? 2. A bus and a truck leave from Party A and Party B at the same time. The speed of a truck is four-fifths that of a bus. After a quarter of the journey, the truck and the bus met for 28 kilometers. How many kilometers is it between A and B? 3. Party A and Party B walk around the city, with Party A walking 8 kilometers per hour and Party B walking 6 kilometers per hour. Now both of them start from the same place at the same time. After B meets A, it will take another 4 hours to return to the original starting point. B How long does it take to go around the city? 4. Party A and Party B walk from place A to place B at the same time. When Party A completes the whole journey of 1\4, Party B is still 640 meters away from B. When Party A completes the remaining 5\6, Party B completes the whole journey of 7\ 10. What's the distance between AB and place? 5. Two cars, A and B, start from A and B at the same time and drive in opposite directions. Car A travels 75 kilometers per hour, and it takes 7 hours for car B to complete the journey. Three hours after the departure of the two cars, the distance is15km. What is the distance between a and b? 6. One, two people should go this way. A It takes 30 minutes to walk and 20 minutes to walk. After walking for 3 minutes, A found that she didn't take anything, which delayed for 3 minutes. How many minutes does it take to walk from A to B? 7. two cars, a and b, start from place a and drive in the same direction. A walks 36 kilometers per hour and B walks 48 kilometers per hour. If car A leaves two hours earlier than car B, how long will it take for car B to catch up with car A? 8. Party A and Party B respectively set out from ab, which is 36 kilometers apart, and walked in opposite directions. When Party A departs from A to 1 km, it has been in A until it finds something and returns immediately. After the goods were gone, he immediately went from place A to place B, where Party A and Party B met. He knew that Party A walked 0.5 kilometers more than Party B every hour and asked both of them to walk. Solution: 9. At the same time, two trains travel in opposite directions from two places 400 kilometers apart. The bus speed is 60 kilometers per hour, and the truck speed is 40 kilometers per hour. Do the two trains meet at 100 km after several hours? 10, A travels 9 kilometers per hour, and B travels 7 kilometers per hour. They walked back to back at the same time in two places 6 kilometers apart, and a few hours later they were separated by 150 kilometers. 1 1. Two cars A and B are driving in opposite directions at the same time from two places 600 kilometers apart. It is known that car A travels 42 kilometers per hour and car B travels 58 kilometers per hour. How many kilometers did B car travel when they met? Solution: 12, two cars are opposite, meet in 6 hours, the bus will arrive in 4 hours, and the truck will be 188 km away. How far is the distance between the two places?

13. The distance between Party A and Party B is 600 kilometers. The bus and truck traveled in opposite directions from two places and met for six hours. As we all know, the speed of a truck is two-thirds that of a bus. What is the speed of the two cars? 14. The rabbit and the kitten walked in opposite directions from A and B, which are 40 kilometers apart, respectively. Four hours later, they met for four kilometers. How long did it take to meet again? 15, car a and car b leave from a and b respectively. Car A travels 50 kilometers per hour and car B travels 40 kilometers per hour. Train A is earlier than train B 1 hour. What's the distance between the two places? 16. Two cars leave from Party A and Party B at the same time and meet at 4 o'clock. The speed of the local train is three-fifths of that of the express train. When we met, the express train traveled 80 kilometers more than the local train. How far is the distance between the two places? 17, Party A and Party B set out from A and B respectively at the same time and walked towards each other. Party A walks 100 meters per minute, and Party B walks 120 meters per minute. Two hours later, they were150m apart. What is the shortest distance between a and b? What is the longest distance? 18, and the distance between Party A and Party B180km. A car is scheduled to travel from A to B for 4 hours, but it actually travels 5 kilometers per hour more than originally planned, so it can arrive a few hours earlier than originally planned. 19, A and B start from AB at the same time. When they met, the distance they walked was 4: 3. After meeting, B is faster than A by 12km per hour, and A still keeps the original speed. As a result, the two cars arrived at the destination at the same time. It is known that B traveled 12 hours. 20. Two cars, A and B, drive in opposite directions from two places 325 kilometers apart at the same time. The speed of A car is 52 kilometers per hour, and the speed of B car is 65438+0.5 times that of A car. When will the cars meet? 2 1, two cars, Party A and Party B, start from A and B at the same time and drive in opposite directions. A travels 80 kilometers per hour, and B travels 10% of the whole journey per hour. When B travels to 5/8 of the whole journey, Party A can reach B through 65438+ 0/6 of the whole journey. How many kilometers is it between A and B? 22. Two cars of Party A and Party B leave the two places relatively at the same time. Car A travels 40 kilometers per hour and car B travels 45 kilometers per hour. When the two cars meet, the second car is 20 kilometers away from the midpoint. How many kilometers are the two places apart? 23. Party A and Party B walk in opposite directions in two places at the same time, and meet at E. Party A continues to walk at B. Party B takes a rest 14 minutes, and then continues to walk at A. Party A and Party B turn back immediately after arriving at B and A respectively, and still meet at E. Know that A walks 60 meters per minute, B walks 80 meters per minute, and how many meters are there between A and B. 24. Two trains, A and B, leave relatively from AB at the same time. When they meet, the distance ratio between A and B is 4: 5. It is known that train B travels 72 kilometers per hour, and it takes 10 hour for train A to complete the whole journey. How many kilometers are there between AB and AB? 25. Party A and Party B walk from A and B to each other at the speed of 4 kilometers and 5 kilometers per hour respectively. After meeting, they walked on. How many kilometers is there between A and B if A walks from the assembly point for another two hours and arrives at B? 26. Passenger cars and trucks depart from Party A and Party B relatively simultaneously. After meeting on the road, they moved on. They returned immediately after they arrived at each other's departure place. They met for the second time on the road. The distance between the two venues is1.20km.. The bus travels 60 kilometers per hour and the truck travels 48 kilometers per hour. How many kilometers is it between Party A and Party B? 27. A bus and a truck set off from A and B at the same time and met for 5 hours. After the rendezvous, the two cars continued to drive forward for three hours. At this time, the bus distance b is180km, the truck distance a is 2 10/0km, and how many kilometers is AB? 28. Party A and Party B started from AB, and the speed of Party A was 4/5 of that of Party B. After arriving at Party B and Party A, Party A returned to AB, and the speed of Party A increased by 1/4, and that of Party B increased by 1/3. It is understood that the distance between the two meeting points A and B is 34 kilometers. What's the distance between AB? 29. Xiaoming gets up at 5 o'clock and looks at the clock. The word 6 is right in the middle of the hour hand and the minute hand (that is, the distance from the two hands to 6 is equal). What time is five o'clock? 30. A cruise ship is sailing on the Yangtze River. It takes 3 hours to sail from Port A to Port B, and 4 hours and 30 minutes to return. How many hours does it take for an empty bucket to drift the same distance only by the current?

Answer, answer and answer 1. Solution: AB distance = (4.5× 5)/(5/1) = 49.5km2 Solution: The speed ratio of bus and truck is 5: 4, so the distance ratio when they meet is 5: 4, which is 4/9 of the whole truck journey. Then the whole journey = 28/(7/36) = 144km3. Solution: The speed ratio of Party A and Party B = 8: 6 = 4: 3. When meeting, Party B did 3/7 of the whole journey. Then 4 hours is 4/7 of the whole journey, so Party B's week is 4/(4/7) = 7 hours. Solution: Party A.6 is 3/4×5/6=5/8. At this time, A * * * has gone 1/4+5/8=7/8, so the distance ratio between A and B is 7/8: 7/ 10 = 5: 4, so when A has gone all the way 1/4, B has gone all the way/kloc. Then AB distance = 640/( 1-65438+ 15. Solution: At this time, Party A and Party B have not met. 3/7.7) of the three-hour journey of B = 240/(4/7) = 420km. One case: Party A and Party B have met (225-/kl). Solution: Party A's speed of 30 B = 1/20. A takes things and sets out, and B leaves 1/20×9=9/20, so the distance that A and B walk together is1-9/20 =1/20, and the sum of the speeds of A and B is =1/. 12)=6.6 minutes satisfies 7. Solution: distance difference = 36× 2 = 72km speed difference = 48-36 =12km/h. It takes 72/ 12=6 hours for B car to catch up with A 8. A actually left 36×65438+ when she met him. 2 = 18km, then A walks 20- 18 = 2km more than B, then the meeting time is 2/0.5 = 4 hours, so the speed of A = 20/4 = 5km/h, and the speed of B = 5-0.5 = 4.5km/h, 9. Solution: the sum of velocities = 60+. If we don't meet, it will take time =(400- 100)/ 100=3 hours. If yes, it will take time =(400+ 100)/ 100=5 hours. Solution: velocity sum = 9+7 =16 =144/16 = 9 hours apart 150km 1 1, Speed sum = 42+58 = 100km/ hour meeting time = 600/ 100 = 6 hours later, when they meet, B travels 58×6= 1486 4 hours 1/6×4=2/3, then. Solution: The sum of the speeds of two cars = 600/6. 5=60 km/h, truck speed = 100-60=40 km/h, 14, solution: if the sum of speeds =(40-4)/4=9 km/h, it will take 4/9 hours to meet 15. Solution: The shortest distance is when we meet. The longest distance is the sum of unsatisfied speeds =100+120 = 220m/min, 2h =120min, and the shortest distance = 220x120-150 = 26400-/. 20+654384=45 km/h actual speed =45+5=50 km/h actual time = 180/50= 3.6 hours in advance 4-3.6=0.4 hours 19, arithmetic method: after the meeting time =12. When line B is 12× 36/7 = 432/7km, the whole journey is = (432/7)/( 1/7) = 432km20. Solution: the speed of b = 52× 1. Solution: 5/8 time spent by Bank B = (5/8)/(10) = 25/4 hours AB distance = (80× 25/4)/(1-kloc-0//6) = A walked 60× 14=840 meters. After meeting for the first time, the walking distance is 3/7×2=6/7, so the walking distance of A is 6/7×3/4=9/ 14. In fact, A walked 4/7×2=8/7, so when B was at rest, A walked 8/7-9/ 14= 1/2. Solution: When we meet, the distance ratio is 4: 5, then the distance ratio is 5: 4, the time ratio is equal to the inverse ratio of the distance ratio, the distance ratio between Party A and Party B is 5: 4, and the time ratio is 4: 5, then Party B's complete journey needs 10×5/4 = 12.5 hours, and AB distance = 72. Solution: When A and B meet, the distance ratio = speed ratio = 4: 5. Then when they meet, A is still 5/9 of the distance to the destination, so AB distance = 4× 2/(5/9) = 72/5 =14.4km26. Solution: The speed ratio of bus and truck = 60: 48 = 5: 4 If the whole journey is regarded as 1, then the first meeting point is 65438 from one place. The second meeting in nine places is a three-way journey, so the distance from the second meeting point to B is1× 3× 5/9-1= 5/3-1= 2/3, that is, from A is1-2/3 =/kloc-. 9)=540 km 27。 Solution: 65438+ 0/5 * * of the whole journey of two cars per hour, then 1/5×3= 3/5 of the whole journey of three hours, so the distance ratio of the whole journey = (180+210)/(kloc-0/-) is. When Party B arrives at point A, Party A drives 1×4/5=4/5. At this time, Party B speeds up 1/3, so the speed ratio of Party A and Party B is 4: 5× (1+1/3). Then b goes (1/5)/(3/5)= 1/3. At this time, A accelerated. The speed ratio is changed from 3: 5 to 3 (1+ 1/4): 5 = 3: 4 and the distance between Party A and Party B is 1- 1/3=2/3. When they met, Otsuichi left 1/3+(2/3) ×. 7 The meeting point at the first meeting is 4/9 of the distance from A, so AB distance = 34/(5/7-4/9) = 34/(17/63) =126km29. Solution: Suppose it is 5 o'clock and the minute hand goes 1 grid every minute. Then the clockwise hand moves 5/60 =112 every minute. According to the question A-30 = 5-a/1213/12a = 35a = 420/13. That is, the 1 grid on the clock face is regarded as a special travel problem. Solution: Downward speed 1/3, upward speed = 1/4.5=2/9, and running speed = (1/3-2/9)/2 = 1/2.