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A boat takes 4 hours to travel from place M to N downstream and back from N to M upstream. If the speed of the boat in still water is 14 km/hr, what is the distance between the two places?
- a)8 km
- b)12 km
- c)6 km
- d)Data inadequate
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A boat takes 4 hours to travel from place M to N downstream and back f...
GIVEN:
Time taken by a boat to travel from place M to N downstream and come back = 4 hours
Speed of the boat = 14km/hr
FORMULA USED:
Speed = Distance / Time
CALCULATION :
According to the given information,
Let’s assume the velocity of stream to be ‘x’
Speed of boat in still water = 14 kmph
Velocity upstream = 14 – x
Velocity downstream = 14 + x
Distance for upstream and downstream is same. Let’s assume it to be ‘D’
Time taken by boat in upstream flow = D/(14 – x)
Time taken by boat in Downstream flow = D/(14 + x)
Time taken in Upstream and Downstream by the boat = 4 hours
For determining D, x (speed of stream) must be given.
For determining D, x (speed of stream) must be given.
Most Upvoted Answer
A boat takes 4 hours to travel from place M to N downstream and back f...
Given information:
- The boat takes 4 hours to travel from place M to N downstream and back from N to M upstream.
- The speed of the boat in still water is 14 km/hr.
To find:
- The distance between the two places.
Approach:
- Let the speed of the stream be 'x' km/hr.
- Downstream speed = (speed of boat in still water) + (speed of stream) = 14 + x km/hr.
- Upstream speed = (speed of boat in still water) - (speed of stream) = 14 - x km/hr.
- Let the distance between M and N be 'd' km.
Downstream journey:
- Time taken = Distance / Speed = d / (14 + x) hours.
Upstream journey:
- Time taken = Distance / Speed = d / (14 - x) hours.
Total time taken:
- Total time taken = Time taken downstream + Time taken upstream = d / (14 + x) + d / (14 - x) hours.
Calculation:
- Given that the total time taken is 4 hours.
- Therefore, d / (14 + x) + d / (14 - x) = 4.
Since the data is inadequate, we cannot solve this equation to find the distance between the two places. Therefore, option D (Data inadequate) is the correct answer.
- The boat takes 4 hours to travel from place M to N downstream and back from N to M upstream.
- The speed of the boat in still water is 14 km/hr.
To find:
- The distance between the two places.
Approach:
- Let the speed of the stream be 'x' km/hr.
- Downstream speed = (speed of boat in still water) + (speed of stream) = 14 + x km/hr.
- Upstream speed = (speed of boat in still water) - (speed of stream) = 14 - x km/hr.
- Let the distance between M and N be 'd' km.
Downstream journey:
- Time taken = Distance / Speed = d / (14 + x) hours.
Upstream journey:
- Time taken = Distance / Speed = d / (14 - x) hours.
Total time taken:
- Total time taken = Time taken downstream + Time taken upstream = d / (14 + x) + d / (14 - x) hours.
Calculation:
- Given that the total time taken is 4 hours.
- Therefore, d / (14 + x) + d / (14 - x) = 4.
Since the data is inadequate, we cannot solve this equation to find the distance between the two places. Therefore, option D (Data inadequate) is the correct answer.
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A boat takes 4 hours to travel from place M to N downstream and back from N to M upstream. If the speed of the boat in still water is 14 km/hr, what is the distance between the two places?a)8 kmb)12 kmc)6 kmd)Data inadequateCorrect answer is option 'D'. Can you explain this answer?
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