Question

# Sam plans to go by bus and walk back. If the speed of bus is 45 kms per hour and he can walk at the rate of 5 kms per hour, how far can he ride by bus if his total journey is of 12 hours?

A

48 kms

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B

45 kms

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C

52 kms

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D

54 kms

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Solution

## The correct option is D 54 kms Let the total time Sam rode by bus is x hrs. The distance covered by the bus = 45×x kms. So, sam should be covering 45×x kms by foot in (12−x) hours. And, the distance covered by Sam by walking = 5(12−x) hours ⇒5(12−x)=45×x ⇒60−5x=45x x=65 ∴ the total distance travelled by bus = (45×65)=54 kms

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