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Machine A can process 6000 envelopes in 3 hours. Machines B
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generis
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Machine A can process 6000 envelopes in 3 hours. Machines B [#permalink] New post  10 Mar 2018, 13:53
Expert Reply
shash wrote:
Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 12000 envelopes.

A. 2
B. 3
C. 4
D. 6
E. 60/7

ptl0u1 wrote:
Instead of 2.5 hours , 2 hours and (2/5) mins then answer will be 4 hours . Correct?

ptl0u1 , no, the answer is \(\frac{60}{7}\) hours.
I'm not sure you worked from the right prompt, although your question seems to match. Are you asking about --rates? Where did you get (2/5 mins)? Could you quote the prompt you used?

A's rate = \(\frac{6,000}{3hrs} = \frac{2,000}{1hr}\)

\(A = 2,000\) per hour

\(B + C = \frac{6,000}{\frac{5}{2}hr}=6,000*\frac{2}{5}hr=\frac{2,400}{1hr}\)
\(B + C = 2,400\) per hour

\(A + C = 3,000\) per hour

Find C.
\(A + C = 3,000\)
\(A = 2,000\) =>
\(C = 1,000\)

Find B
\(B + C = 2,400\)
\(C = 1,000\) =>
\(B = 1,400\) per hour

Time for B to process 12,000 envelopes?

\(R*T = W\), so \(T =\frac{W}{R}\)

\(\frac{12,000}{1,400}=\frac{120}{14}=\frac{60}{7}\) hrs

Answer E
Hope that helps.
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Re: Machine A can process 6000 envelopes in 3 hours. Machines B [#permalink] New post  20 Aug 2020, 21:39
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