A boat goes from point A to B downstream of a river flowing with speed 6km/h and then comes back to point A. If time taken in upstream journey is double of that in downstream journey then speed of boat in still water is?
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Answered by
5
Hii there,
◆ Answer -
Speed of boat in still water = 4.5 km/h
● Explanation -
Let vb & vr be speed of boat and riverstream respectively.
Time taken by boat to travel downstream is given by -
t = s / (vb + vr)
t = s / 6
Time taken by boat to travel upstream is given by -
t' = s / (vb - vr)
Given that t' = 2t.
t' = 2t
s / (vb - vr) = 2 × s / 6
vb - vr = 3
Now we have two equations -
vb + vr = 6 km/h
vb - vr = 3 km/h
Solving these two equations -
vb = 4.5 km/h
vr = 1.5 km/h
Therefore, speed of boat in still water will be 4.5 km/h.
Thanks dear...
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