Question 14100 – Mathematical-Reasoning
November 14, 2023Question 14024 – NIC-NIELIT Scientist-B 2020
November 14, 2023Mathematical-Reasoning
| Question 8 |
Three pipes fill a tank in 4 hours. If two of them take 8 and 12 hours each to fill the tank, how many hours will the third pipe take to fill the tank?
| 6 hours | |
| 15 hours | |
| 18 hours
| |
| 24 hours
|
Question 8 Explanation:
Three pipes fill a tank in 4 hours
P1 takes 8 hours and in one hour work is 1/8
P2 takes 12 hours and and in one hour work is 1/12
P3 takes x hours and and in one hour work is 1/x
Amount of work done by both p1 and p2=(⅛+1/12+1/x)=5/24+1/x
Now 1/x=1/4-5/24=6-5/24=1/24
P3 will take 24 hours to fill the tank
P1 takes 8 hours and in one hour work is 1/8
P2 takes 12 hours and and in one hour work is 1/12
P3 takes x hours and and in one hour work is 1/x
Amount of work done by both p1 and p2=(⅛+1/12+1/x)=5/24+1/x
Now 1/x=1/4-5/24=6-5/24=1/24
P3 will take 24 hours to fill the tank
Correct Answer: D
Question 8 Explanation:
Three pipes fill a tank in 4 hours
P1 takes 8 hours and in one hour work is 1/8
P2 takes 12 hours and and in one hour work is 1/12
P3 takes x hours and and in one hour work is 1/x
Amount of work done by both p1 and p2=(⅛+1/12+1/x)=5/24+1/x
Now 1/x=1/4-5/24=6-5/24=1/24
P3 will take 24 hours to fill the tank
P1 takes 8 hours and in one hour work is 1/8
P2 takes 12 hours and and in one hour work is 1/12
P3 takes x hours and and in one hour work is 1/x
Amount of work done by both p1 and p2=(⅛+1/12+1/x)=5/24+1/x
Now 1/x=1/4-5/24=6-5/24=1/24
P3 will take 24 hours to fill the tank
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