Question

Из одного населённого пункта выехали два автобуса. Автобус №1 двигался со скоростью 65км/ч, а автобус №2 двигался быстрее и через 2ч опередил автобус №1 на 40км. С какой скоростью он двигался?

Answer 1

Problem Analysis

We have two buses, Bus #1 and Bus #2, that started from the same location. Bus #1 was traveling at a speed of 65 km/h, while Bus #2 overtook Bus #1 after 2 hours and was 40 km ahead. We need to find the speed at which Bus #2 was traveling.

Solution

Let's assume the speed of Bus #2 is x km/h.

After 2 hours, Bus #1 would have traveled a distance of 65 km/h * 2 h = 130 km.

Since Bus #2 overtook Bus #1 after 2 hours and was 40 km ahead, the distance traveled by Bus #2 in 2 hours would be 130 km + 40 km = 170 km.

To find the speed of Bus #2, we can use the formula: speed = distance / time.

The time taken by Bus #2 to cover a distance of 170 km is 2 hours, so the speed of Bus #2 is 170 km / 2 h = 85 km/h.

Therefore, Bus #2 was traveling at a speed of 85 km/h.

Answer

Bus #2 was traveling at a speed of 85 km/h.