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A boat running downstream covers a distance of 40 km in 5 hrs and for covering the same distance upstream it takes 10 hrs. What is the speed of the stream?
- a)5 km/hr
- b)2 km/hr
- c)6 km/hr
- d)4 km/hr
- e)3 km/hr
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A boat running downstream covers a distance of 40 km in 5 hrs and for ...
Downstream speed = 40/5 = 8 km/hr
Upstream speed = 40/10 = 4 km/hr
So speed of stream = 1/2*(8-4)
Upstream speed = 40/10 = 4 km/hr
So speed of stream = 1/2*(8-4)
Most Upvoted Answer
A boat running downstream covers a distance of 40 km in 5 hrs and for ...
Given data:
Distance covered downstream = 40 km
Time taken downstream = 5 hours
Distance covered upstream = 40 km
Time taken upstream = 10 hours
Let's assume the speed of the boat in still water as 'b' km/hr and the speed of the stream as 's' km/hr.
Downstream speed = (b+s) km/hr
Upstream speed = (b-s) km/hr
We know that distance = speed × time
Using the above formula, we can write:
Downstream distance = (b+s) × 5
Upstream distance = (b-s) × 10
As the distances covered downstream and upstream are the same, we can equate the above two equations:
(b+s) × 5 = (b-s) × 10
Simplifying the above equation, we get:
5b + 5s = 10b - 10s
15s = 5b
s = b/3
Therefore, the speed of the stream is b/3 km/hr.
Answer: Option B (2 km/hr)
Distance covered downstream = 40 km
Time taken downstream = 5 hours
Distance covered upstream = 40 km
Time taken upstream = 10 hours
Let's assume the speed of the boat in still water as 'b' km/hr and the speed of the stream as 's' km/hr.
Downstream speed = (b+s) km/hr
Upstream speed = (b-s) km/hr
We know that distance = speed × time
Using the above formula, we can write:
Downstream distance = (b+s) × 5
Upstream distance = (b-s) × 10
As the distances covered downstream and upstream are the same, we can equate the above two equations:
(b+s) × 5 = (b-s) × 10
Simplifying the above equation, we get:
5b + 5s = 10b - 10s
15s = 5b
s = b/3
Therefore, the speed of the stream is b/3 km/hr.
Answer: Option B (2 km/hr)
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Community Answer
A boat running downstream covers a distance of 40 km in 5 hrs and for ...
Downstream speed = 40/5 = 8 km/hr
Upstream speed = 40/10 = 4 km/hr
So speed of stream = 1/2*(8-4)
Upstream speed = 40/10 = 4 km/hr
So speed of stream = 1/2*(8-4)
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