A pedestrian at a speed of 5 km / h covered a distance 2 times less than a cyclist at a speed of 15 km / h.

A pedestrian at a speed of 5 km / h covered a distance 2 times less than a cyclist at a speed of 15 km / h. Find the time that the cyclist was on the way, considering that this time together with the time spent on the way of the pedestrian is 5 hours.

1. Take as x (kilometers), the length of the path traveled by the traveler, the length of the cyclist’s path is 2 kilometers.
2. Considering that the total travel time of the traveler and the cyclist is 5 hours, we make the equation:
x / 5 + 2x / 15 = 5;
(3x + 2x) / 15 = 5;
5x = 75;
x = 15 kilometers – the length of the path traveled by the traveler.
The length of the cyclist’s path is 15 x 2 = 30 kilometers.
3. We calculate the time spent on the cyclist’s path:
30:15 = 2 hours.
Answer: the time spent on the way of a cyclist is 2 hours.