a good one ;)

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mehrasa: Master | Next Rank: 500 Posts; Posts: 279; Joined: Fri Nov 05, 2010 5:43 pmFollowed by: 1 member; Thanked: 15 times

by mehrasa » Sun Sep 25, 2011 1:08 am

Larry can hoe a garden in 90 minutes and Jim can hoe it in 60 minutes. They work together for 30 minutes then Jim goes fishing and Larry finishes the job. How long did Larry have to work?

A) 15 min.

B) 75 min.

C) 42 min.

D) 45 min.

E) 20 min.

[spoiler]OA: D[/spoiler]

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Source: Beat The GMAT — Problem Solving | Sun Sep 25, 2011 1:08 am

knight247: Legendary Member; Posts: 504; Joined: Tue Apr 19, 2011 1:40 pmFollowed by: 11 members; Thanked: 114 times

by knight247 » Sun Sep 25, 2011 1:59 am

Let the square footage of the garden be 360 sq.ft

If Larry can hoe it in 90 minutes then his rate is 360/90=4sq ft/minute
So in 30 minutes he would have finished 4*30=120 sq ft.

If Jim can hoe it in 60 minutes then his rate is 360/60 = 6sq ft/minute
So in 30 minutes he would have finished 30*6 = 180 sq ft

So in 30 minutes both Larry and Jim would have completed 120+180=300 sq ft that leaves 60 sq ft still remaining to be completed by Larry alone.

Now, if Larry works at the rate of 4sq ft/minute then for 60 sq ft he would take 60/4= 15 minutes Hence A

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ntamhane: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Thu Jun 30, 2011 4:15 amFollowed by: 1 member; Thanked: 1 times

by ntamhane » Sun Sep 25, 2011 3:00 am

Experts .. Whats the answer 45 or 15?

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shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Sun Sep 25, 2011 4:07 am

knight247 is right in his solution, but they ask the total time Larry works,

so just add the 15mins to the half an hour already worked already. SO 45 mins

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