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If a train runs at 60 km/h, it reaches its destination 15 minutes late. But, if it runs at 80 km/h. it is late by 7 minutes only. The right
time for the train to cover its journey is:
17 minutes
18 minutes
20 minutes
21 minutes
- Let the distance be D km and correct time taken be T minutes.
- At 60 km/h, time taken = (D/60) hours = (T + 15) minutes
- At 80 km/h, time taken = (D/80) hours = (T + 7) minutes
- Convert minutes to hours for easier calculation:
• (T + 15)/60 = time at 60 km/h
• (T + 7)/60 = time at 80 km/h
- Equate distances:
• 60 × (T + 15)/60 = 80 × (T + 7)/60
• (T + 15) = 4/3(T + 7)
• 3(T + 15) = 4(T + 7)
• 3T + 45 = 4T + 28
• 4T - 3T = 45 - 28
• T = 17
- So, the correct time is 17 minutes.
- Options explained:
• 17 minutes – Correct
• 18 minutes – No, slightly too high
• 20 minutes – No, result is lower
• 21 minutes – No, significantly higher
By: santosh ProfileResourcesReport error
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