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A man travels for 14 hours 40 minutes. He covers half of the journey by train at the rate of 60 km/hr and rest half by road at the rate of 50 km/hr. The distance travelled by him is :
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- 720 km
- 800 km
- 960 km
- 1000 km
Correct Option: B
Let total distance covered be 2x km.
Total time = 14 hours 40 minutes
| = 14 | hours = 14 | hours | ||
| 60 | 3 |
| = | hours | |
| 3 |
| Time = | |
| Speed |
According to the question,
| + | = | |||
| 60 | 50 | 3 |
| ∴ | = | ||
| 300 | 3 |
| ⇒ | = | ||
| 300 | 3 |
| ⇒ x = | × | = 400 | ||
| 3 | 11 |
∴ Total distance
= 2x = 2 × 400 = 800 km
