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A man cycles at the speed of 8 km/hr and reaches office at 11 am and when he cycles at the speed of 12 km/hr he reaches office at 9 am. At what speed should he cycle so that he reaches his office at 10 am?
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- 9.6 kmph.
- 10 kmph.
- 11.2 kmph.
- Cannot be determined
Correct Option: A
Distance of the office = x km.
Difference of time = 2 hours
| ∴ | − | = 2 | ||
| 8 | 12 |
| ⇒ | = 2 | |
| 24 |
| ⇒ | = 2 ⇒ x = 48 km. | |
| 24 |
∴ Time taken at the speed of 8 kmph
| = | = 6 hours | |
| 8 |
∴ Required time to reach the
office at 10 a.m. i.e., in 5 hours
| = |  |  | kmph | |
| 5 |
= 9.6 kmph
