97. 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.?

✅ The correct answer is option C.
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.

Required speed =

60
kmph.
= 12 kmph.

5