Question

Грузовикдо остановки проехал180 км а после остоновки 120 км. все расстояние он приодалел за 5 часов двигаясь с одинаковаю скоростью.сколько времени грузовик ехал до остановки? сколько после остановки?

Answer 1

1). 180+120=300 (км) проехал грузовик; 2). 300:5=60 (км/ч) скорость грузовика; 3). 180:60=3 (ч) ехал до остановки; 4). 120:60=2 (ч) ехал после остановки.

Answer 2

180+120=300км
300:5=60часов ответ

Answer 3

Problem Analysis

We are given that a truck traveled 180 km before stopping and then traveled 120 km after the stop. The total time taken for the entire distance was 5 hours, and the truck traveled at a constant speed throughout. We need to find the time it took for the truck to travel before the stop and after the stop.

Solution

Let's assume the time taken to travel before the stop is t1 and the time taken to travel after the stop is t2.

We know that the total time taken for the entire distance is 5 hours. Therefore, we can write the equation:

t1 + t2 = 5 (Equation 1)

We also know that the truck traveled at a constant speed throughout. Therefore, we can write the equation:

distance = speed × time

For the distance traveled before the stop, we have:

180 km = speed × t1 (Equation 2)

For the distance traveled after the stop, we have:

120 km = speed × t2 (Equation 3)

We can rearrange Equation 2 and Equation 3 to solve for speed:

speed = 180 km / t1 (Equation 4)

speed = 120 km / t2 (Equation 5)

Since the speed is the same in both cases, we can equate Equation 4 and Equation 5:

180 km / t1 = 120 km / t2

We can simplify this equation to:

t2 = (120 km × t1) / 180 km

Substituting this value of t2 in Equation 1, we get:

t1 + (120 km × t1) / 180 km = 5

Simplifying this equation, we find:

t1 + (2/3) t1 = 5

(5/3) t1 = 5

t1 = 3

Substituting the value of t1 in Equation 1, we can find t2:

3 + t2 = 5

t2 = 2

Therefore, the truck traveled for 3 hours before the stop and 2 hours after the stop.

Answer

The truck traveled for 3 hours before the stop and 2 hours after the stop.