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Re: Working at their respective constant rates, machine A makes 100 copies [#permalink]
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Very smart one! I had C then I aware yashikaaggarwal ‘s point. Tricky one

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Re: Working at their respective constant rates, machine A makes 100 copies [#permalink]
ataman wrote:
Very smart one! I had C then I aware yashikaaggarwal ‘s point. Tricky one

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I was thinking about C initially as well. But I had been through similar DS question where C was the trap. So put it down on paper. And it turned out well. ?
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Re: Working at their respective constant rates, machine A makes 100 copies [#permalink]
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Machine A
12 mins --> 100 copies
2 hours --> 1000 copies

Machine B
15 mins --> 100 copies
2 hours --> 1000 copies

x no.of Machine A & y no.of Machine B

Total production in 2 hours = 1000x+800y=?

Statement I :
x=y cannot determine value of 1000x+800y
Not Sufficient

Statement II :
5x + 4y = 90

200* (5x + 4y = 90)

---> 1000x+800y=90*200

Sufficient


Option B

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Re: Working at their respective constant rates, machine A makes 100 copies [#permalink]
Bunuel wrote:
Working at their respective constant rates, machine A makes 100 copies in 12 minutes and machine B makes 100 copies in 15 minutes. If a number of x machine A and a number of y machine B work simultaneously at their respective rates for 2 hours, what is the total number of copies that they will produce?

(1) x = y.
(2) 5x + 4y = 90.


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• MAIN POINT-Always check the equation you derive from questions with the equations given in statements.

Ra= rate of work of machine A => given - Ra =100/12
Rb = rate of work of Machine B => given - Ra =100/15

Time*Rate=Work done
To find- 2* (xRa + yRb ) =>2* (x*100/12 + y*100/15)=> 2*( x*25/3+y*20/3) -------(1)

S1 -> x=y

Clearly insufficient, we will still be left with one variable

S2-> 5x +4y=90
Now if I multiply the given eq with 5/3 I'll get

25/3x +20/3y=90
Put this value back in (1) - Sufficient

IMO -B
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Re: Working at their respective constant rates, machine A makes 100 copies [#permalink]
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Re: Working at their respective constant rates, machine A makes 100 copies [#permalink]
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