Question

Через 2 часа после того, как из поселка выехал грузовик, идущий со скоростью 60км.ч, вслед за ним выехал автобус, скорость которого 90км.ч. Сколько времени потребуется автобусу, что бы догнать грузовик?

Answer 1

1) 90-60=30км/ч
2) 200:30=6,66часа

Answer 2

Problem Analysis

We are given that a truck is traveling at a speed of 60 km/h, and after 2 hours, a bus starts following the truck at a speed of 90 km/h. We need to determine how much time it will take for the bus to catch up to the truck.

Solution

To solve this problem, we can use the formula:

Time = Distance / Speed

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 will have traveled for (T + 2) hours.

Since the distance traveled by both the truck and the bus is the same when the bus catches up to the truck, we can set up the following equation:

Distance traveled by truck = Distance traveled by bus

Speed of truck * Time traveled by truck = Speed of bus * Time traveled by bus

Substituting the given values:

60 km/h * (T + 2) hours = 90 km/h * T hours

Simplifying the equation:

60T + 120 = 90T

120 = 90T - 60T

120 = 30T

T = 120 / 30

T = 4 hours

Therefore, it will take the bus 4 hours to catch up to the truck.

Answer

The bus will take 4 hours to catch up to the truck.