Question

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 3 kmh slower than the other. If the two cyclists are 183 kilometers apart after 3 hours, what is the rate of each cyclist?

Answer 1

Explanation:

Let x and y be the rate of the cyclist 1 and 2

x2 = x1 - 3 km/h

At t = 3 h,

D1 - D2 = 183 km

Velocity, x = D/t

Therefore,

3x2 + 3 × (x2 + 3) = 183

3x2 + 3x2 + 9 = 183

6x2 = 174

x2 = 174/6

= 29 km/h

3x2 + 9 = 3x1

x1 = 32 km/h