MathDB

Two bicyclists traveled the distance from

A

B

, which is

100

km, with speed

30

km/h and it is known that the first started

30

minutes before the second.

20

minutes after the start of the first bicyclist from

A

, there is a control car started whose speed is

90

km/h and it is known that the car is reached the first bicyclist and is driving together with him for

10

minutes, went back to the second and was driving for

10

minutes with him and after that the car is started again to the first bicyclist with speed

90

km/h and etc. to the end of the distance. How many times will the car drive together with the first bicyclist?
K. Dochev

Problem Statement