A can manufacturing company has 5 identical machines, each of which pr

A can manufacturing company has 5 identical machines, each of which produces cans at the same constant rate. How many cans will all 5 machines produce running simultaneously for z hours ?

(1) Running simultaneously, 3 of the machines produce 72,000 cans in 2z hours
(2) Running simultaneously, 2 of the machines produce 24,000 cans in zz hours

Explanation : let the rate be x cans/hr.

S1:3 of the machines produce 72,000 cans in 2z hours i.e
3*2z*x=72000
x=12000/z

Now no. Of cans 5 machines running simultaneously for z hours will produce= 5*x*z
=5*(12000/z)*z
=60000
Hence S1 is sufficient.

S2:
Running simultaneously, 2 of the machines produce 24,000 cans in z hours
2*x*z=24000
x=12000/z

Now no. Of cans 5 machines running simultaneously for z hours will produce= 5*x*z
=5*(12000/z)*z
=60000

Hence S2 is also sufficient.

Thus D is the correct answer.

Regards
Atul Pandey

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