2. A class organized a tour to the scenic spot. Most of the students took the bus, with an average speed of 24 km/h. Four students in charge of logistics took the school bus half an hour late, with a speed of 60 km/h. Both groups reached the foot of the mountain at the same time. Later, they found that it was expensive to go up the mountain by cable car and could not browse the scenery. So we discussed that the big troops would go up the mountain on foot, and the four logistics students would be replaced by the advance team and take the cable car up the mountain, ready to go to the top of the mountain for activities. The speed of the cable car is three times that of hiking, and the students on foot stay at a scenic spot for ten minutes, reaching the top of the mountain 30 minutes later than the advance team. Find the distance from the school to the scenic spot; If the speed of going up the mountain is 4 km/h and the walking distance is twice that of the cable car, find the distance for students to walk up the mountain.
3. Xiaoming drove to a place at eight o'clock and saw that the mileage of the car was double digits, and the sum of the two digits was seven; At 8: 30, I saw that the ten digits and the single digits of the mileage were reversed; The mileage seen at 9 o'clock is 0 more than that at 8 o'clock. Do you know the mileage that Xiao Ming saw at nine o'clock (assuming the speed is the same throughout the driving process)?
4. Fill a cylindrical bottle with a bottom diameter of 5cm and a height of 18cm with water, and then pour the water in the bottle into a cylindrical glass with a bottom area of 6cm and a height of 10cm. Can it be completely filled? If not, how high is the water left in the bottle? If it is not full, find the distance from the surface of the cup to the mouth of the cup 1. (1) Let Xiaoming's speed be x and Uncle's speed be X*3/2.
(X+X*3/2)*32=400
X=5,X*3/2=7.5
Xiao Ming's speed is 5 m/s, and Uncle's speed is 7.5 m/s. 。
(2)400/(7.5-5)= 160
Meet every 160 seconds.
(1) Let the distance between the school and the scenic spot be x,
X/24=X/60+0.5, and both sides of the equation are multiplied by 240.
10X=4X+ 120,
X=20
The distance from the school to the scenic spot is 20 kilometers.
(2) Let the distance of going up the mountain be x and the distance of taking the cable car be X/2.
X/4+ 1/6=(X/2)/(4*3)+0.5
X = 1.6 km.
Walking distance up the mountain1.6km.
3. At 8: 00, the ten digits of the mileage are X, and each digit is Y,
X+Y=7
( 10Y+X)-( 10X+Y)=( 100 X+Y)-( 10Y+X)
Y=6X
X= 1,Y=6,
The mileage seen at 9 o'clock is 106.
4. The diameter is 5cm and the height is 18cm.
Bottom area = 3.14 * (5/2) * (5/2) =19.625cm2.
Volume =19.625 *18 = 353.25 cubic centimeters.
Diameter 6cm, height 10cm.
Bottom area = 3.14 * (6/2) * (6/2) = 28.26cm2.
Volume =28.26* 10=282.6 cubic centimeters.
353.25 is greater than 282.6
(1) cannot be completely installed.
(2) (353.25-282.6)/19.625 = 3.6 cm
The height of water in the bottle is 3.6 cm.