Robert is travelling on his cycle and has calculated to reach point A at 2 P.M.

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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.?

Options:

A . 8 kmph

B . 11 kmph

C . 12 kmph

D . 14 kmph

Answer: Option C

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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