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09 Dec 2019, 10:26
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
58% (03:02) correct
42%
(03:00)
wrong
based on 119
sessions
History
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Not Attempted Yet
P, Q and R are 3 small pumps fitted to a tank. S is a large pump fitted to the tank. Q is 50% more efficient than P. R is 100/3% is more efficient than Q. S is 50% more efficient than R. All of the pumps are used to fill the tank.
What is the ratio of the time taken by pumps P and R to fill the tank together to the time taken by pumps Q and S to fill the tank together ?
A. 3 : 2
B. 4 : 3
C. 2 : 3
D. 3 : 5
E. 3 : 4
What is the ratio of the time taken by pumps P and R to fill the tank together to the time taken by pumps Q and S to fill the tank together ?
A. 3 : 2
B. 4 : 3
C. 2 : 3
D. 3 : 5
E. 3 : 4
09 Dec 2019, 21:06
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efficiency of P= x
efficiency of Q= \(\frac{3x}{2}\)
efficiency of R= \(\frac{3x}{2}*\frac{4}{3}\)=2x
efficiency of S= 2x*\(\frac{3}{2}\)=3x
E(P+R) : E(Q+S)= 3x : 4.5x= 2:3
T(P+R):T(Q+S)= 3:2
efficiency of Q= \(\frac{3x}{2}\)
efficiency of R= \(\frac{3x}{2}*\frac{4}{3}\)=2x
efficiency of S= 2x*\(\frac{3}{2}\)=3x
E(P+R) : E(Q+S)= 3x : 4.5x= 2:3
T(P+R):T(Q+S)= 3:2
TheNightKing
09 Dec 2019, 21:29
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TheNightKing
rate of Q = 3/2 (rate of P)
rate of R = 4/3 (rate of Q) = (4/3) (3/2) (rate of P) = 2 * rate of P
rate of S = 3/2 (rate of R) = (3/2) (2 * rate of P) = 3 * rate of P
required ratio = (rate of Q + rate of S) / (rate of P + rate of R)
= ( 3/2 + 3) / (1 + 2) = 3 : 2
A is correct
