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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?
(answer in hours)

1 Answer

2 votes

Answer:

  • 6 hours

Explanation:

First 2 hours:

  • Ruth covers distance: 13*2= 26 km
  • Crony covers distance: 12*1= 12 km

Distance between them after 2 hours:

  • 138 - (26+12)= 100 km

Time to meet:

  • 100/(13+12) = 100/25 = 4 hours

Total time including the first 2 hours:

  • 2+4 = 6 hours

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