Discuss Forum
1.
A man can reach a certain place in 40 hours . If he reduces his speed by 1/15th, he goes 5 km less in that time . Find the total distance covered by him.
- A. 60 km
- B. 60 km
- C. 60 km
- D. 60 km
Answer: Option D
Explanation:
Correct Option: D
Let Distance = D km, Speed = S km/h
| Time = | Distance |
| Speed |
| 40 = | Distance | .... (1) |
| Speed |
After reducing speed,
| Distance = Distance – 5 km, Speed = S × | 14 | km/h |
| 15 |
| Time = | Distance |
| Speed |
| 40 = | (Distance – 5) | .... (2) | |
| Speed × | 14 | ||
| 15 | |||
After solving equation 1 and 2
| Distance | = | (Distance – 5) | |
| Speed | Speed × | 14 | |
| 15 | |||
14 Distance = 15 (Distance – 5)
14 Distance = 15 Distance – 75
Distance = 75 km.
Hence, option D is correct.
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