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Three hoses, x, y, and z, pump water simultaneously at a

Expert replies
by AAPL » Wed Jun 20, 2018 2:51 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Three hoses, x, y, and z, pump water simultaneously at a rate of 600 gallons per hour. If each hose is independent of the other two hoses, at what rate does each hose pump water?

1) x pumps water at a rate of 150 gallons per hour.
2) y pumps water at half the rate of x.

The OA is C.

An approach can be,

1/x + 1/y+ 1/z = 1/600

1. x's rate is given. doesn't help with other two. INSUFFICIENT
2. y = 1/2*x gives nothing about x and z. INSUFFICIENT

Combining 1 and 2, we get x and y, so z can be deduced. Hence C.
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Wed Jun 20, 2018 9:56 pm
AAPL wrote:Three hoses, x, y, and z, pump water simultaneously at a rate of 600 gallons per hour. If each hose is independent of the other two hoses, at what rate does each hose pump water?

1) x pumps water at a rate of 150 gallons per hour.
2) y pumps water at half the rate of x.

The OA is C.

An approach can be,

1/x + 1/y+ 1/z = 1/600

1. x's rate is given. doesn't help with other two. INSUFFICIENT
2. y = 1/2*x gives nothing about x and z. INSUFFICIENT

Combining 1 and 2, we get x and y, so z can be deduced. Hence C.
This is all good. :)

-Jay
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