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A Boat going upstream takes 8 hours 24 minutes to cover a certain distance, while it takes 5 hours to cover 5/7 of the same distance running downstream. Then what is the ratio of the speed of boat to speed of water current?
  • a)
    11:5
  • b)
    11:6
  • c)
    11:1
  • d)
    6:5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A Boat going upstream takes 8 hours 24 minutes to cover a certain dist...
Given Information:
- Time taken to cover a certain distance upstream = 8 hours 24 minutes
- Time taken to cover 5/7 of the same distance downstream = 5 hours

Let's Assume:
- Speed of the boat = B km/hr
- Speed of the water current = C km/hr
- Distance = D km

Calculating Speed:
- Upstream speed = (B - C) km/hr
- Downstream speed = (B + C) km/hr

Calculating Distance:
- Distance = Speed x Time

Equations:
1. D = (B - C) x 8.4
2. 5D/7 = (B + C) x 5

Solving Equations:
- From equation 1: D = 8.4B - 8.4C
- From equation 2: 5D/7 = 5B + 5C
- Substituting D from equation 1 into equation 2: 5(8.4B - 8.4C)/7 = 5B + 5C
- Simplifying: 6B = 11C

Ratio of Speeds:
- Therefore, the ratio of the speed of the boat to the speed of water current is 11:1 (Option C).
Free Test
Community Answer
A Boat going upstream takes 8 hours 24 minutes to cover a certain dist...
(S-R)*42/5 = (S+R)*7
S:R = 11:1
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A Boat going upstream takes 8 hours 24 minutes to cover a certain distance, while it takes 5 hours to cover 5/7 of the same distance running downstream. Then what is the ratio of the speed of boat to speed of water current?a)11:5b)11:6c)11:1d)6:5Correct answer is option 'C'. Can you explain this answer?
Question Description
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