Question

Three machines, A, B and C can be used to produce a product. Machine A will take 60 hours to produce a million units. Machine B is twice as fast as Machine A. Machine C will take the same amount of time to produce a million units as A and B running together. How much time will be required to produce a million units if all the three machines are used simultaneously?

6 hours
8 hours
10 hours
12 hours

Answer 1

Answer:

♠ The correct option is C.

Step-by-step explanation:

Since Machine C takes the same amount of time as A & B running together,

1/C = 1/A + 1/B

1/A + 1/B + 1/C = 2/A + 2/B

Machine A takes 60 hours, while machine B takes 30 hours to produce a million units. So, if all the 3 machines are used simultaneously time taken can be expressed as

2/60 + 2/30 = 1/10

Hence, it will take 10 hours.

Answer 2

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Refer the attachment.