# How long from when they start do they meet?

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Ruth and Crony cycle toward each other, beginning 138 km away at the same time. Ruth cycles at 13 km/h and Crony cycles at 12 km/h. 1 hour after they start, Crony stops and repairs her bicycle for 1 hour. Then she keeps cycling. How long from when they start do they meet?

Ruth and Crony cycle toward each other, beginning 138 km away at the same time. Ruth cycles at 13 km/h and Crony cycles at 12 km/h. 1 hour after they start, Crony stops and repairs her bicycle for 1 hour. Then she keeps cycling. How long from when they start do they meet?

##### 1 Answer

6 hours

#### Explanation:

Let's work this out piece by piece.

First we have the two people 138 km apart. They travel towards each other for 1 hour at a collective speed of 25 km/hr (Ruth at 13 and Crony at 12). So after 1 hour, they are:

Crony needs to stop and repair her bike for an hour, and so for that hour Ruth continues to ride toward Crony:

With Crony's bike fixed, they now ride towards each other again. By observation, we can see it'll take 4 hours:

In total, it takes them 6 hours to meet.