a Boat takes 4 hours to travel certain distance in river in downstream and takes 6 hours to travel the same distance in upstream. The time taken to travel the same distance in still water is
Answers
Answer:
the answer is 4.8 hrs
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Answer:
4.8 hours
Explanation:
time in downstrem =4hrs
we know that,
Tdownstream=s/VB+Vw [s=distance]
4=S/Vb+Vw
Vb+Vw=S/4-----equation 1
we know that,
Tupstream=S/Vb-Vw
6=S/Vb-Vw
Vb-Vw=S/6------equation 2
From equation 1 and 2
Vb+Vw=S/4
Vb-Vw=S/6
2Vb=S/4+S/6
2Vb= 3S+2S/12
Vb=5S/24
They asked time taken by boat to travel the same distance in still water
So, t=S/Vb [S=Distance, Vb= velocity of boat]
t=S/5S/24 [we got Vb=5S/24]
t=24/5
t=4.8 hrs