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.?
Correct Answer: 12 kmph
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 =
❨
60
❩hrs
= 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
