Question

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.?

Answer 1

Let the distance travelled by x km.

Then,x/10-x/15= 2

 3x - 2x = 60

 x = 60 km.

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

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

 Required speed =60/5kmph.= 12 kmph.