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February 27th, 2014, 08:38 PM   #1
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women and bags

Question 1(a) Sandra can make a bag in 2 minutes. She calls 7 of her friends who also work at the same rate (a bag in 2 minute). How long will it take them to make 1200 bags?

My attempt: There are 8 people. If they all start working at the same time, at the end of 2 minutes there will be 8 bags. The rate =
To make 1200 bags the time required =

Question 1(b) If Sandra called only 3 friends who work at the following rates: 1 bag in 3 minutes, 1 bag in 4 minutes and 1 bag in 5 minutes then, together how long will it take to make 1200 bags?
My attempt: LCM (2, 3, 4, 5) = 3 x 4 x 5 = 60 minutes
In 60 minutes Sandra makes 60/2 = 30 bags
In 60 minutes friend 1 makes 60/3 = 20 bags
In 60 minutes friend 2 makes 60/4 = 15 bags
In 60 minutes friend 3 makes 60/5 = 12 bags

So the rate =

Therefore time taken to make 1200 bags =

Is my approach to the problem correct? Is the answer correct? Is there a better way to solve this problem? Thanks
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February 27th, 2014, 08:53 PM   #2
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Re: women and bags

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February 27th, 2014, 09:05 PM   #3
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Re: women and bags

Quote:
Originally Posted by greg1313
I didn't understand how you got the equation.
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February 27th, 2014, 09:28 PM   #4
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Re: women and bags

Quote:
Originally Posted by shunya
Quote:
Originally Posted by greg1313
I didn't understand how you got the equation.
Sandra = 1/2 bag in 1 minute : (1/2)x
7 friends = 1 bag each in 1 minute: 7x
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February 27th, 2014, 09:37 PM   #5
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Re: women and bags

Thanks Denis and greg1313. I made a mistake in Question 1(a). All the friends work at the same rate (1 bag in 2 minutes). SORRY for wasting your time there.

What about question 1(b)? Can you have a look.
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February 27th, 2014, 11:07 PM   #6
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For 1(b), why round down? They can't quite finish 1200 bags in 935 minutes. In 936 minutes, they can finish 1201 bags (and the friend who makes a bag in each 5 minutes would have had time to work for 1 minute on the 1202nd bag).
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