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# if 8 men can reap 80 hectares in 24 days. How many hectares

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Manager
Joined: 08 Apr 2003
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if 8 men can reap 80 hectares in 24 days. How many hectares [#permalink]  21 Jul 2003, 17:19
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if 8 men can reap 80 hectares in 24 days. How many hectares can 36 mem reap in 30 days?
Manager
Joined: 07 Jul 2003
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A man does 10\24 hectares in a day.
36 men do in 30 day 10*36*30\24=450 hectares.
GMAT Instructor
Joined: 07 Jul 2003
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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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RK73 wrote:
A man does 10\24 hectares in a day.
36 men do in 30 day 10*36*30\24=450 hectares.

A very quick way of looking at this is that you have

36/8 times the manpower and 30/24 times the available time.

Hence your output will be increased by 36/8 x 30/24 or

80 x 36/8 x 30/24 = 450.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Manager
Joined: 08 Apr 2003
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Well, i guess i dont even need to write the best way of approaching this problem since Akamai has made it look so simple.

I would although like to add a point here.

I remember one thing while attempting such problems. Know what type of proportion are you dealing with. Inverse or direct.

In the following problem no. hectares is reaped by men is in direct proportion with number of men.

Similarly no. of hectares reaped is in direct proportion with no. of days. More days, more hectares will be reaped.

Hence the solution x = 80 * 36/8 * 30/24.

Just in case if in this problem you would were asked how much time is required to reap 450 hectares by 36 men.

Then the approach would be the same but the difference here would be of proportion between no. of men and time taken. They are in inverse proportion. Less time means more men.

So x = 24 * 450/90 * 8/36.

HTH!!!
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