Q1: 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.?
A 8 kmph
B 11 kmph
C 12 kmph
D
14 kmph
ANS:C - 12 kmph
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.
3
hrs
Required speed =