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gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members; Thanked: 173 times; GMAT Score:710

by gmatmachoman » Fri May 28, 2010 3:23 am

A, B and C, each of them working alone can complete a job in 6, 8 and 12 days respectively. If all three of them
work together to complete a job and earn $ 2340, what will be C's share of the earnings?

A. $1100
B. $520
C. $1080
D. $1170
E. $630

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Source: Beat The GMAT — Problem Solving | Fri May 28, 2010 3:23 am

gmatjedi: Senior | Next Rank: 100 Posts; Posts: 85; Joined: Sat Aug 15, 2009 4:36 am; Thanked: 19 times

by gmatjedi » Fri May 28, 2010 3:34 am

a, b, c complete complete job in 6, 8 and 12 days respectively

let x = amount of work

a completes 4x work
b completes 3x work
c completes 2x work

9x=2340
x=260

c =2x =520
b

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selango: Legendary Member; Posts: 1460; Joined: Tue Dec 29, 2009 1:28 amFollowed by: 7 members; Thanked: 135 times

by selango » Fri May 28, 2010 4:02 am

Combining it will take 8/3 days to finish the job

so 8/3*2340 =780*8

C share =780*8/12=520

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liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pmFollowed by: 1 member; Thanked: 97 times

by liferocks » Fri May 28, 2010 4:17 am

share in the profit will be same as work done=1/6:1/8:1/12=8:6:4=4:3:2

so share of c=2340*(2/9)=260*2=520

Ans option B

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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blaster: Master | Next Rank: 500 Posts; Posts: 233; Joined: Mon Jun 09, 2008 1:30 am; Thanked: 5 times

by blaster » Mon May 31, 2010 4:30 am

liferocks wrote:share in the profit will be same as work done=1/6:1/8:1/12=8:6:4=4:3:2

so share of c=2340*(2/9)=260*2=520

Ans option B

can you please explain how you get 8:6:4=4:3:2 ?

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liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pmFollowed by: 1 member; Thanked: 97 times

by liferocks » Mon May 31, 2010 4:40 am

blaster wrote:
liferocks wrote:share in the profit will be same as work done=1/6:1/8:1/12=8:6:4=4:3:2

so share of c=2340*(2/9)=260*2=520

Ans option B
can you please explain how you get 8:6:4=4:3:2 ?

I have canceled the common factor 2

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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