Diver rowing at the rate of 5 km/h in still water takes double the time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.
Answers
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Here's your Answer....
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Speed of the boat in water =.5 km/hr
Let the speed of the stream be x km/hr
So, the speed of the boat upstream will be
(5-x) km / hr
So, the speed of the boat downstream is (5+x)
k/hr
Time given to cover 40 km upstream = 3(time
taken to cover dowmstream)
⇒40/ (5-x) km/hr = 3(5+x)
⇒1/(5-x)=3(5+x)
⇒5+x=15-3x
⇒x+3x=15-5
⇒4x=10
⇒X=10/4
⇒X=5/2
∴x=2.5 km/hr
✔✔✔
Answer:
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Explanation:
Speed in still water = 5km/h
Define x:
Let the speed of the steam be x
Upstream speed = (5 - x) km/h
Downstream speed = (5 + x) km/h
Time taken going upstream:
Time taken = Distance ÷ Speed
Time taken = 40/(5 - x) h
Time taken going downstream:
Time taken = Distance ÷ Speed
Time taken = 40/(5 + x) h
Solve x:
The time taken upstream is double the time taken downstream
40/(5 - x) = 2 (40/(5 + x))
40/(5 - x) = 80/(5 + x )
40(5 + x) = 80( 5 - x)
200 + 40x = 400 - 80x
120x = 200
x = 200 ÷ 120 = 5/3
Answer: The speed of the stream is 5/3 km/h