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# Company C has a machine that, working alone at its constant rate, proc

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Re: Company C has a machine that, working alone at its constant rate, proc [#permalink]
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Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine?

A. 50

B. 45

C. 30

D. 25

E. 20

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours.

Rate = 1/5

Another machine = 1/x

Togather 1/5+1/x=1/2

x=3.333

constant rate, in units per hour, of the new machine = 100/3.33 = 30

Hence C

HI pushpitkc

Am'i Right?
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Re: Company C has a machine that, working alone at its constant rate, proc [#permalink]
Yes NandishSS - you are absolutely right!

Posted from my mobile device
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Re: Company C has a machine that, working alone at its constant rate, proc [#permalink]
Machine A(old machine) can produce 100 units in 5 hour so in 1hour it can produce is 20 units.
Total requirement is of 100 units in 2 hours.. So 100- Out put of Machine A in 2 hrs=60 units.
To manufacture 60 units in 2 hrs new machine should produce 30 units ...
Ans:C 30units (new machine output/hr)
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Re: Company C has a machine that, working alone at its constant rate, proc [#permalink]
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Given to us here the efficiency of Machine A = 20 units/hour

The efficiency of New Machine A = e units/hour

Given, the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours

=>(20+e) * 2 =100

=>e=30 (option c)
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Re: Company C has a machine that, working alone at its constant rate, proc [#permalink]
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Re: Company C has a machine that, working alone at its constant rate, proc [#permalink]
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