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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.?

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1. 

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

Answer: Option C

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 = 1-sym-oparen-h1 60 1-sym-cparen-h1hrs = 6 hrs.
10

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

 Required speed = 1-sym-oparen-h1 60 1-sym-cparen-h1kmph. = 12 kmph.
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