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# A, B and C are assigned the task of making the same type of clay toys.

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Intern
Joined: 27 May 2013
Posts: 12
Concentration: Finance, Entrepreneurship
A, B and C are assigned the task of making the same type of clay toys.  [#permalink]

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28 Aug 2015, 06:41
5
00:00

Difficulty:

95% (hard)

Question Stats:

48% (02:17) correct 52% (02:22) wrong based on 169 sessions

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A, B and C are assigned the task of making the same type of clay toys. How many clay toys are made in a day when all three work together?

(1) In one day, A, working alone, can make one-fourth as many clay toys as B, working alone, can and three fifth as many clay toys as C, working alone, can
(2) When B works at 50% capacity, B and A can make 65 toys in a day and B and C can make 45 toys in a day
Senior Manager
Joined: 20 Aug 2015
Posts: 388
Location: India
GMAT 1: 760 Q50 V44
A, B and C are assigned the task of making the same type of clay toys.  [#permalink]

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28 Aug 2015, 08:58
Given: A, B and C make the same type of toys
Required: How many toys can A, B and C make together

Let us assume that A, B and C makes a, b and c number of toys in a day

Statement 1:
a = b/4 or 4a = b -> (i)
a = 3c/5 or 5a = 3c -> (ii)

On multiplying (i) by 5 and (ii) by 4, we can equate the multiples of a and get
20a = 5b = 12c

This gives us a relation among a, b and c but does not tell anything about the number of toys made by them.
INSUFFICIENT

Statement 2:
a + b/2 =65 -> (iii)
b/2 + c = 45 -> (iv)

On adding the two equations, we get:
a + b + c = 110

Hence we can tell that the total number of toys made by 3 of them together are 110.
SUFFICIENT.

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Joined: 09 Sep 2013
Posts: 9448
Re: A, B and C are assigned the task of making the same type of clay toys.  [#permalink]

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31 Dec 2017, 08:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A, B and C are assigned the task of making the same type of clay toys. &nbs [#permalink] 31 Dec 2017, 08:57
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