A boat goes 27 km upstream and 33 km downstream in 6 hours In the same time it can go 36 km upstream...........

Quantitative Aptitude (CGL) Bar Graph

A boat goes 27 km upstream and 33 km downstream in 6 hours. In the same time it can go 36 km upstream and 22 km downstream, How much time will it take to go 36 km upstream and 44 km down stream?

This questions was previously asked in

SSC CGL 16th August 2021 Shift-3

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8 h 30 m

8 h 10 m

8 h

7 h 50 m

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Explanation:

Correct option 3: 8 h

Given

Time taken when upstream 27 km and downstream 33 km = 6 hours
Time taken when upstream 36 km and downstream 22 km = 6 hours

Let speed of boat = a kmph and speed of stream = b kmph
Upstream speed = a-b
Downstream speed = a+b

Solution

33/(a + b) +27/(a - b) = 6
22/(a+b)+36/(a - b) = 6
Then,
⇒33/(a + b) + 27/(a - b) = 22/(a + b) +36/(a - b)
11/(a + b) = 9/(a - b)
11a - 11b9a + 9b
=2a = 20b
a = 10b
Then,
⇒33/(10b + b) +27/(10b - b) = 6
=3/b+3/b = 6
⇒b=1
a = 10
Speed downstream = 10 + 1 = 11 kmph
Speed upstream = 10-1 = 9 kmph
Then,
=>?= 44/11 + 36/9
=?=4+4
?= 8
- it will take 8 hours to go 36 km upstream and 44 km downstream.