Question 19.

Leaving home at the same time, Amal reaches office at 10:15 am if he travels at 8kmph, and at 9:40 am if he travels at 15kmph. Leaving home at 9:10 am, at what speed, in kmph, must he travel so as to reach office exactly at 10:00 am?

A
12
B
11
C
13
D
14

Question Explanation

Text Explanation

The difference in the time take to traverse the same distance ′d′ at two different speeds is 35 minutes.

Equating this: d8\frac{d}8d15\frac{d}{15} = 3560\frac{35}{60}

On solving, we obtain d=10kms Let x kmph be the speed at which Amal needs to travel to reach the office in 50 minutes; then

10x=5060\frac{10}{x}=\frac{50}{60} or x = 12 kmph

​Hence, Option A is the correct answer.

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