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A ship is 156 km away from the bank of river. A leak, which admits metric tons of water in  min, but the pumps throughout 15 metric tons in 1 hour. 68 metric tons would sufficient to sink the ship. Find the average rate of sailing so that she may just reach the bank as she begins to sink

  • a)
    15

  • b)
    60

  • c)
    18

  • d)
    10

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A ship is 156 km away from the bank of river. A leak, which admits met...
In one minute, amount flowing in = 15/39 MT (MT stands for metric tons)
In one minute, amount thrown out = 15/60 = 1/4 MT
Effective rate of filling in one hour = (15/39 - 1/4) MT = 21/56 MT/Min
Time till it just begins to sink = 68 / (21/156)
Speed required = (156/505) = 0.3 km/min = 0.3 x 60 km/hr = 18 km/hr.
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Most Upvoted Answer
A ship is 156 km away from the bank of river. A leak, which admits met...
Given Data:
- Distance from shore: 156 km
- Rate of water ingress: 2.5 metric tons in 6.5 minutes
- Sinking threshold: 68 metric tons
- Pump rate: 15 metric tons in an hour

Calculations:
1. The ship will start sinking when it accumulates 68 metric tons of water.
2. The pumps can remove 15 metric tons of water in an hour, which is equivalent to 0.25 metric tons per minute.

Time to sink:
- Time to sink = (68 metric tons) / (2.5 metric tons per 6.5 minutes)
- Time to sink = 17.2 * 6.5 = 111.8 minutes

Time to reach shore:
- Time to reach shore = 156 km / (x km/h)
- Time to reach shore = 156 / x hours

Condition:
The ship should reach the shore just as it starts sinking.
So, time to reach shore = time to sink

Equating the times:
- 156 / x = 111.8
- x = 156 / 111.8
- x ≈ 18 km/h
Therefore, the average rate of sailing so that the ship just reaches the shore as it begins to sink should be 18 km/h (option A).
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A ship is 156 km away from the bank of river. A leak, which admits metric tons of water inmin, but the pumps throughout 15 metric tons in 1 hour. 68 metric tons would sufficient to sink the ship. Find the average rate of sailing so that she may just reach the bank as she begins to sinka)15b)60c)18d)10Correct answer is option 'A'. Can you explain this answer?
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