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Question

# Arjun was travelling on his cycle and has calculated the time to reach his destination. If he travels at 15 kmph, he will reach there by 10A.M and if he travels at 20 kmph he will reach by 9 A.M. At what speed must he travel to reach the office by 9:30 A.M.?

A

17.1kmph

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B

27 kmph

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C

14 kmph

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D

Data insufficient

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Solution

## The correct option is A 17.1kmphSuppose the distance between his home and office is x km x15−x20=1 x = 60 km. Arjun started his journey at 6 A.M. and reached his office by 10 A.M. Speed at which Arjun needs to travel so that he reaches the office by 9:30 A.M. =60 km3.5 hr=17.11 kmph

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