saplings to be planted

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Mon Jul 26, 2010 2:45 am

There are 120 saplings to be planted in an orchard. Ben and Sue working together without a break can complete the job in six hours. How long would it take Ben working alone to complete the job?

1. Sue plants 3 saplings in the time it takes Ben to plant 2.
2. Sue working alone would take 10 hours to do the job.

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Source: Beat The GMAT — Data Sufficiency | Mon Jul 26, 2010 2:45 am

outreach: Legendary Member; Posts: 748; Joined: Sun Jan 31, 2010 7:54 amFollowed by: 3 members; Thanked: 46 times

by outreach » Mon Jul 26, 2010 3:38 am

D

1/b+1/s=1/6 - (1)

stmt 1
s=2/3b

solving eq 1 we will get the value

stmt 2
1/s=1/10
solving eq 1 we will get the value

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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 » Mon Jul 26, 2010 11:25 am

B+S=6 hrs

120 saplings in 6 hrs

1 sapling in 1/20 hrs

stmt1,

Sue - 3 saplings in T-1 sapling in T/3

Ben - 2 saplings in T-1 sapling in T/2

T/3+T/2=1/20

5T/6=120

T=144

Sufficient

Stmt2,

Sue 120 saplings in 10 hrs

12 saplings in 1 hr

Ben+sue - 20 saplings in 1 hr

Ben = 8 saplings in 1 hr

Sufficient.

Pick D

--Anand--

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dinesh19aug: Senior | Next Rank: 100 Posts; Posts: 78; Joined: Thu Feb 21, 2008 9:05 am; Thanked: 7 times

by dinesh19aug » Mon Jul 26, 2010 6:24 pm

Given:

Rate of A + Rate of B = 6
Work = 140

R*T = W

Stmt 1: RAte of A/ Rate of B = 3/2 ===> Hence putting it in eqn above, we can find the rate of B
SUFF.

Stmt2: Rate of A is given, Put A in eqn above we get rate of B Suff.

Ans = D

Always write down or rephrase the information, then circle the value you need to find, In this case we need to find any relation of information which can give us the value of A (Sue).

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