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A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 51 km downstream.
- a)2 hours
- b)3 hours
- c)4 hours
- d)5 hours
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A boat can travel with a speed of 13 km/hr in still water. If the spee...
Learn the concept first— still water & stream are completely opposite conditions of water. Downstream, is if a boat moves in the same direction of the stream.
Accdn,to The basic 10th level formulae, speed of the boat downstream–
speed in still water+ speed in stream.
= 13km/hr + 4km/hr = 17 km/ hr.
hence,time to go 51 km, 51/17= 3 hrs
Accdn,to The basic 10th level formulae, speed of the boat downstream–
speed in still water+ speed in stream.
= 13km/hr + 4km/hr = 17 km/ hr.
hence,time to go 51 km, 51/17= 3 hrs
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A boat can travel with a speed of 13 km/hr in still water. If the spee...
Problem: To find the time taken by the boat to go 51 km downstream with a speed of 13 km/hr in still water and the speed of the stream is 4 km/hr.
Solution:
Let us assume that the time taken by the boat to go 51 km downstream is t.
The speed of the boat downstream = (speed of the boat in still water) + (speed of the stream)
= 13 + 4 = 17 km/hr
Therefore, the distance travelled by the boat downstream in time t = speed × time
= 17 × t km
According to the problem, the boat travelled 51 km downstream.
Therefore, 17 × t = 51
=> t = 51/17
=> t = 3
Hence, the time taken by the boat to go 51 km downstream is 3 hours.
Therefore, the correct option is (b) 3 hours.
Solution:
Let us assume that the time taken by the boat to go 51 km downstream is t.
The speed of the boat downstream = (speed of the boat in still water) + (speed of the stream)
= 13 + 4 = 17 km/hr
Therefore, the distance travelled by the boat downstream in time t = speed × time
= 17 × t km
According to the problem, the boat travelled 51 km downstream.
Therefore, 17 × t = 51
=> t = 51/17
=> t = 3
Hence, the time taken by the boat to go 51 km downstream is 3 hours.
Therefore, the correct option is (b) 3 hours.
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A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 51 km downstream.a)2 hoursb)3 hoursc)4 hoursd)5 hourse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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