Latest IBPS Aptitude Question SOLUTION: A boat goes up a river 20 km and down the river 24 km in 8 hours. it also goes up a river 30 km and down the river 28 km in 11 hours.What is the speed of the boat and the river?

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(#M40079410) IBPS Numerical Ability question Time and Distance Keep an EYE

A boat goes up a river 20 km and down the river 24 km in 8 hours. it also goes up a river 30 km and down the river 28 km in 11 hours.What is the speed of the boat and the river?

Asked In IBPS pradeep kumar (10 years ago)

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Devendra Marghade  (10 years ago)

Speed of the boat=6 km/hr, river=2 km/hr

If Boat speed=x, river/stream speed=y, Upstream Speed=x-y & Downstream speed=x+y
1st Condition: 20/(x-y) + 24/(x+y) =8 ---(i) and
2nd Condition:30/(x-y) + 28/(x+y) =11 ---(ii)
For simplification, take x-y=a & x+y=b, then (i) & (ii) becomes
(20/a)+(24/b)=8 ---(iii) &
(30/a)+(28/b)=11 ---(iv)
From (iii) & (iv), b=2a
Substituting this value in (iii) or (iv), we get a=4, b=8
So, x-y=4 & x+y=8, hence x=6, y=2

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