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15 Oct 2019, 06:58
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A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?
(A) 125
(B) 150
(C) 160
(D) 175
(E) 200
(A) 125
(B) 150
(C) 160
(D) 175
(E) 200
15 Oct 2019, 07:57
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Bunuel
A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?
(A) 125
(B) 150
(C) 160
(D) 175
(E) 200
(A) 125
(B) 150
(C) 160
(D) 175
(E) 200
Efficiency of Machine A = 100
Efficiency of Machine A + B is 2000/8 = 250
Thus, Efficiency of machine B is 150
Hence, Efficiency of the newer machine is 150, Answer must be (B)
06 Apr 2020, 10:27
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Bunuel
A stamping machine produces 100 gaskets per hour. When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours. How many gaskets does the newer machine produce per hour?
(A) 125
(B) 150
(C) 160
(D) 175
(E) 200
(A) 125
(B) 150
(C) 160
(D) 175
(E) 200
A stamping machine produces 100 gaskets per hour.
Rate of ORIGINAL machine = 100 gaskets per hour
When this machine works with a newer machine, the two machines, working simultaneously and independently at their respective constant rates, produce a total of 2,000 gaskets in 8 hours.
2,000 gaskets in 8 hours is the same as 250 gaskets PER HOUR
In other words: (rate of ORIGINAL machine) + (rate of NEW machine) = 250 gaskets PER HOUR
How many gaskets does the NEWER machine produce per hour?
Take: (rate of ORIGINAL machine) + (rate of NEW machine) = 250 gaskets PER HOUR
Substitute to get: (100 gaskets per hour) + (rate of NEW machine) = 250 gaskets PER HOUR
So, rate of NEW machine = 150 gaskets per hour
Answer: B
Cheers,
Brent
