The velocity of the stream in the river is 2 km. per hour a sailor in this river travels 10 km upstream. It takes a total of 55 minutes to leave and come back to the same point. What is the velocity of the sailor in still water?
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Let the speed of the motor boat in still water be x kmph.
Speed downstream = (x+2) kmph
Speed upstream = (x-2) kmph
Therefore,
x−2
10
+
x+2
10
=
60
55
x−2
1
+
x+2
1
=
600
55
=
120
11
11x
2
−240x−44=0
(x−22)(11x+2)=0
x=22
Therefore, speed of motor boat in still water = 22 kmph
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