Question

Из города А в 8часов утра вышел грузовик со скоростью 32км/ч,а в 11 часов дня вслед за ним выехал автобус со скоростью 56км/ч. В котором часу и на каком расстояние от города А автобус догонит грузовик? Заранее спасибо!!!

Answer 1

Пусть время грузовика x ч, тогда время автобуса (x-3) ч. Расстояние пройденное грузовиком до встречи равно (32x) км, а расстояние пройденное автобусом до встречи будет равно ((x-3)56) км.

Составим уравнение:

32x=56(x-3)

32x=56x-168

24x=168

x=7

2) 8+7=15 (ч)

3) 32*7=224 (км)

Ответ: Абтобус догонит грузовик в 15 часов дня,на расстоянии 224 км от города А

Answer 2

Problem Analysis

We are given that a truck leaves city A at 8:00 AM with a speed of 32 km/h, and a bus follows it at 11:00 AM with a speed of 56 km/h. We need to determine at what time and at what distance from city A the bus will catch up to the truck.

Calculation

To solve this problem, we can use the formula: distance = speed × time.

Let's assume that the bus catches up to the truck after t hours. At that 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 when the bus catches up to the truck, we can 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, the bus will catch up to the truck after 7 hours.

To find the distance at which the bus catches up to the truck, we can substitute t = 7 into either of the distance formulas:

Distance = 32t = 32 × 7 = 224 km

Therefore, the bus will catch up to the truck 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.

Please let me know if you need any further assistance!