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### Discussion :: Time and Distance

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.?

2.  A. 8 kmph B. 11 kmph C. 12 kmph D. 14 kmph

Explanation :

Let the distance travelled by x km.

Then,$$\frac { X } { 10 }-$$$$\frac { X } { 15 }$$=2

3x - 2x = 60

x = 60 km.

Time taken to travel 60 km at 10 km/hr =$$[\frac { 60 } { 10 } ]$$hrs=6hrs.

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

Required speed =$$[\frac { 60 } { 5 } ]$$kmph=12 kmph.

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