[12 km/hour] Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10

For Competitive Exams

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.?

9 km/hour

10 km/hour

11 km/hour

12 km/hour

Explanation:

We need to calculate the distance, then we can calculate the time and finally our answer.
Lets solve this,
Let the distance travelled by x km
Time = Distance/Speed
x/10−x/15=2
[because, 2 pm - 12 noon = 2 hours]
3x−2x=60
x=60

Time=Distance/Speed
Time@10km/hr=60/10=6hours
So 2 P.M. - 6 = 8 A.M
Robert starts at 8 A.M.
He have to reach at 1 P.M. i.e, in 5 hours
So, Speed = 60/5 = 12 km/hr

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