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. 10 kmph

C. 12 kmph

D. 14 kmph

View Answer

Correct Answer :
12 kmph

Explanation :

Let the distance travelled by x km

Then, (x/10) - (x/15) = 2

=> 3x - 2x = 60

=> x = 60 km

Time taken to travel 60 km at 10 km/hr = (60/10) hrs = 6 hrs

So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.

=> Required speed = (60/5) kmph = 12 kmph

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