Question

За один день велосипедисты проехали 48 километров,а за второй день,двигаясь с той же скоростью,-в 2 раза меньше.С какой скоростью ехали велосипедисты,если за два дня они были в пути 6 часов?

Answer 1

Problem Analysis

We are given that a group of cyclists traveled a total of 48 kilometers in one day and half that distance in the second day, while maintaining the same speed. We are also told that the total time spent traveling over the two days was 6 hours. We need to determine the speed at which the cyclists were traveling.

Solution

Let's assume the speed of the cyclists is x kilometers per hour.

On the first day, they traveled 48 kilometers, so the time taken is given by:

time1 = distance1 / speed = 48 / x

On the second day, they traveled half the distance, so the time taken is given by:

time2 = distance2 / speed = (48 / 2) / x = 24 / x

The total time spent traveling over the two days is 6 hours, so we can write the equation:

time1 + time2 = 6

Substituting the values of time1 and time2, we get:

(48 / x) + (24 / x) = 6

To solve this equation, we can multiply both sides by x to eliminate the denominators:

48 + 24 = 6x

Simplifying further:

72 = 6x

Dividing both sides by 6:

x = 72 / 6 = 12

Therefore, the speed at which the cyclists were traveling is 12 kilometers per hour.

Answer

The cyclists were traveling at a speed of 12 kilometers per hour.