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.?
[A].8 kmph
11 kmph
12 kmph
14 kmph
[A].
[B].
[C].
[D].
Answer: Option C
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.
| Required speed = | 60 | kmph. | = 12 kmph. | |
| 5 |