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.?

Correct Answer: 12 kmph

Explanation:

Let the distance travelled by x km.

Then,	x	-	x	= 2
	10		15

⟹ 3x - 2x = 60

⟹ x = 60 km.

Time taken to travel 60 km at 10 km/hr =	❨	60	❩hrs	= 6 hrs.
		10

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

∴ Required speed =	❨	60	❩kmph.	= 12 kmph.
		5

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