A motor boat goes 15km downstream and comes back in a total time of 3 hour 45 minutes. find the speed of boat in still water if the speed of stream is 3 km/ hour
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Step-by-step explanation:
Let speed of the stream be x km/hr
Speed downstream =(15+x)km/hr
and speed upstream =(15−x)km/hr
15+x
40
+
15−x
40
=6
⇒
(15+x)(15−x)
40(15−x+15+x)
=6
⇒225−x
2
=200
⇒x
2
=25
∴x=−5or+5
speed cannot be negative
Thus, the speed of the stream =5km/hr
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