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What is the correct answer?

4

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

A. 8 kmph

B. 11 kmph

C. 12 kmph

D. 14 kmph

Correct Answer :

C. 12 kmph


Let the distance travelled by x km.
Then, x10 - x15 = 2
⇒3x - 2x = 60
⇒x = 60 km.
Time taken to travel 60 km at 10 km/hr = 6010 hrs = 6 hrs.
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 605 kmph. = 12 kmph.
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