A boat whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream is ___ km/hr
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Answer:
approximately 20 km/h
Step-by-step explanation:
hope this will help you
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Let's assume that the speed of stream is = x km/h
Speed of boat in still water v = 15 km/h
Total time taken = 4 hour and 30 mins or 9/5 hrs
Distance covered (one way) = 30 kms
Then,
Speed of boat downstream =( 15 + x ) km/h
Time taken downstream = (30/15 + x ) hrs
As time = distance / speed
Speed of boat upstream = ( 15 - x ) km/h
Time taken upstream =( 30/15 - x ) hrs
Now,
Total time taken = Time taken downstream + Time taken upstream
9/2 = (30/15 + x ) + (30/15 - x )
Skipping the calculation part ( I was gonna type it out but i realized it'll take a LOT of time + you guys are smart enough to do that)
x = 5 km/h
The speed of the stream is 5 km/h
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