Work Problem

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Work Problem

by srisl11 » Thu Nov 27, 2008 10:34 pm
Lindsay can paint 1/x of a certain room in 20 minutes. What fraction of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?

A) 1/3x
B)3x(x-3)
C) (x-3)/3x
D)x/(x-3)
E)(x-3)/x

OA C
Source: — Problem Solving |

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by cramya » Thu Nov 27, 2008 10:46 pm
Lindsay can paint 1/x in 20 minutes
In 1 hr 3/x

Let R2 be Joseph's rate

(3/x+R2)*1 = 1 (RATE*TIME = WORK)

R2 = X-3/X

This is in 60 minutes

60 x-3/x

20 ??

x-3/x/60*20
=x-3/3x

C)