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Question

Ahmed and Sahil set out together on bicycle traveling at 15 and 12 kilometers per hour, respectively. After 40 minutes, Ahmed stops to fix a flat tire. If it takes Ahmed one hour to fix the flat tire and Sahil continues to ride during this time, how many hours will it take Ahmed to catch up to Sahil after fixing flat tire assuming he resumes his ride at 15 kilometers per hour? (consider Ahmed's deceleration/acceleration before/after the flat to be negligible)


A

4.5

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B

31/3

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C

3.5

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D

4

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Solution

The correct option is B

31/3


In 23 of an hour

A travels 10 km in 40 min

B travels 8 km in 40 min

After two hours, A travelled 15 km and B travelled 24 km.
After three hours, A travelled 30 km and B travelled 36 km.
After four hours, A travelled 45 km and B travelled 48 km.
After five hours, A travelled 60 km and B travelled 60 km.
Ahmed took 10/3 hours to catch Sahil after fixing his flat tire.


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