2. The distance between Party A and Party B is 468 kilometers, and the passenger and cargo vehicles leave both parties for 3 hours at the same time. It is known that the speed of passenger cars is 6/7 of that of freight cars. Find the speed of the bus.
A cylindrical wood is 4 meters long. After sawing off 0.5 m, the surface area decreased by 3 140 cm2. If the remaining surface is painted, what is the painted area?
4. Two cars, A and B, leave from two places at the same time, and meet at a place 30 kilometers away from the midpoint after five hours. The express train is 60 kilometers per hour, and how many kilometers per hour is the local train?
5. Suning Appliance Shopping Mall bought a batch of new color TV sets with the original price of 4,800 yuan. After a period of trial sale, in order to promote sales, the price was appropriately adjusted and sold at the original 10% discount. At this time, the profit rate of goods is 8%. What is the purchase price of each TV set?
6. The bottom area of the cylindrical water cup is 1.2 square decimeter. Fill 3/4 cup of water, and the water surface is 0.6 decimeter away from the mouth of the cup. What is the volume of this cup?
7. Xiaohong reads a book. The ratio of the number of pages she has read to the remaining pages is 2: 3. If she reads another 56 pages, she has only read 3/4 of the whole book. How many pages are there in this book?
8. An old man is selling a basket of apples. On the first day, he sold more than half of the apples in the basket. On the second day, the remaining half gained 0.5 kg, and the third time, the remaining half gained 0.5 kg. Finally, the old man left 0.5 kg of apples in his basket. So how many kilograms of apples are there in the old man's basket?
9. When someone reads a book, he reads more than 2/7 of the total pages on the first day, and the remaining 2/3 pages of 10 on the second day. There are still 62 pages left to read. How many pages are there in this book?
1. Six books * * 9 cm thick surface area = (23 *17+23 * 9+17 * 9) * 2 =1502 (square centimeter) volume = 23 *1.
2. Find the sum of speeds first = 468/3 =156 (km/h) 6+7 =13/13 =12 (km/h)/kloc.
3. Unified unit: 0.5m = 50cm, 4 m =400 cm. First, find the perimeter of the bottom circle: 3 140/50=62.8 (cm), and then find the radius of the bottom circle: 62.8/(2 * 3. 14) =/kloc. 100=3 14 (square centimeter) The sum of the two areas is: 3 14*2=628 (square centimeter). Because 400-50=350 (cm), 350/50=7 (times), lateral area = 365438.
Because we met 30 kilometers away from the midpoint, the express train traveled 60 kilometers more than the local train, 60*5=300 (km), 300-60=240 (km), 240/5=48 (km/h).
5.4800*0.9/( 1+8%)=4000 yuan.
6. The height in the cup is 0.6/(1-3/4) = 0.6/1/4 = 2.4 decimeter, so the volume is 1.2X2.4=2.88 cubic decimeter.
7. If the number of pages read is 2x, the total number of pages is 5x, (2x+56)/5x = 3/4, and x=32, the total number of pages is 32×5= 160.
8. Apples left on the second day: (0.5+0.5)X2=2 (kg) Apples left on the first day: (2+0.5)X2=5 (kg) Original apples: (5+0.5) x2 =1(kg) A: Grandpa.
9. Remaining pages on the first day: (62+10) * (1-2/3) = 216 (pages) Original pages of this book: (216+4) * (1)
10. Uncle went to other places to do business. Take the bus for the first 2/3 distance, and take a taxi for the rest 1/3 distance; It takes the same time to come back by taxi as it does by bus, and it takes five hours less than when you went. It is known that the bus speed is 24 kilometers per hour and the taxi speed is 72 kilometers per hour. What is the distance from a to b?
Answer: the speed of renting is 72÷24= 3 times that of a big guest.
It can be inferred from the inverse ratio of distance to speed that when returning, 3/4 distance is by taxi and 1/4 distance is by bus.
The reduced five hours are generated in the next trip (bus 1/4, taxi 1/3, the round-trip time has not changed), that is.
1- 1/4- 1/3=5/ 12
In the whole journey of 512, the time to go there is three times as long as the time to come back, and twice as bad as just five hours. So it's time to go.
5÷2×3=7.5 hours
5/ 12 of the whole journey is
24× 7.5 =180km
The whole journey is
180 ÷ 5/12 = 432km
The last one is more difficult.
I hope it helps you.