Question

Как решить задачу: из города А в 8 часов утра вышел грузовик со скоростью 32 км/ч , а в 11 часов дня вслед за ним выехал автобус со скоростью 56 км/ч . в какое время и на каком расстоянии от города А автобус догонит грузовика?

Answer 1

1)56-32=24(км/ч )  скорость сближения
2)11-8=3(часа) на это время позже выехал автобус
3)32 * 3=96 (км) проехал грузовик до того как выехал  автобус
4)96 : 24=4(часа )за это время автобус догнал грузовик
5)11+4=15(ч.) в это время автобус догнал грузовик-место встречи
6)56*4=224(км)на таком расстоянии от города догнал грузовик

Answer 2

Problem Analysis

To solve this problem, we need to determine the time and distance at which the bus catches up to the truck. We are given that the truck leaves city A at 8:00 AM with a speed of 32 km/h, and the bus leaves city A at 11:00 AM with a speed of 56 km/h. We need to find the time and distance when the bus catches up to the truck.

Solution

Let's assume that the time it takes for the bus to catch up to the truck is 't' hours. During this time, the truck would have traveled a distance of 32t km, and the bus would have traveled a distance of 56(t-3) km (since the bus starts 3 hours later).

To find the time and distance when the bus catches up to the truck, we need to set the two distances equal to each other and solve for 't':

32t = 56(t-3)

Simplifying the equation:

32t = 56t - 168

24t = 168

t = 7

Therefore, it will take 7 hours for the bus to catch up to the truck. To find the distance at which this happens, we can substitute 't' back into one of the distance equations:

Distance = 32t = 32 * 7 = 224 km

So, the bus will catch up to the truck after 7 hours and at a distance of 224 km from city A.

Answer

The bus will catch up to the truck after 7 hours and at a distance of 224 km from city A.