A motorboat travels between 2 spots with downstream in 9 hrs and in upstream in 13 hrs ? time taken to travel in still water
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Answer: Let (u) be the velcity of boat in still water and (v) be the velcity of river. Let (x) be the distance between two given spets. As per question.
For downstream, u+v=x9
u
+
v
=
x
9
For upstream, u−v=x13
u
-
v
=
x
13
On adding, 2u=x9+x13=22x117oru=11x117
2
u
=
x
9
+
x
13
=
22
x
117
or
u
=
11
x
117
Time taken by boat to cover distance (x) in still
water is t=xu=x11x/117=10.63h
t
=
x
u
=
x
11
x
/
117
=
10.63
h
.
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