Question

Из города А в город В выехал велосипедист. Спустя 12 часов вслед за ним выехал мотоциклист, скорость которого на 30 км/ч больше скорости велосипедиста. Через 0,6 часа после своего выхода мотоциклист оказался впереди велосипедиста на 6 км. Найдите скорость мотоциклиста.

Answer 1

Problem Analysis

We are given that a cyclist leaves city A and after 12 hours, a motorcyclist leaves city A as well. The motorcyclist's speed is 30 km/h faster than the cyclist's speed. After 0.6 hours, the motorcyclist is 6 km ahead of the cyclist. We need to find the speed of the motorcyclist.

Solution

Let's assume the speed of the cyclist is x km/h. Therefore, the speed of the motorcyclist is x + 30 km/h.

We can use the formula distance = speed × time to solve this problem.

After 12 hours, the cyclist has traveled a distance of 12x km.