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 assuming he resumes his ride at 15 kilometers per hour? (consider Ahmed's deceleration/acceleration before/after the flat to be negligible)

4.5

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3.33

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3.5

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Solution

The correct option is B
3.33

A travels 10 km in 40 min
B travels 8 km in 40 min
After one hour, A would have still traveled only 10 km and B would have traveled 20 km
Representing this on a timeline:

$\begin{matrix} Time in hours & 1 & 2 & 3 & 4 & 5 & 5 : 20 D i s t a n c e & A & 10 & 10 & 25 & 40 & 55 & 60 D i s t a n c e & B & 8 & 20 & 32 & 44 & 56 & 60 \end{matrix}$

A gains this 10 km in $\frac{10}{3} = 3.33$ hours.
Answer is Option (b).

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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)

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