1. Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

Question

Marquis Crane

Business

6 January, 00:49

1. Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

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Answers (1)

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Brooks Lewis · Answer 1

Answer: It will take Machine A 6hours

Explanation:

Let Machine A's output = x

Let Machine B's output = y

Therefore, x + y = 1/3 ... Eqn1

Then

2x + y = 1/2 ... Eqn2

Making y the subject of the formula in eqn 1

y = 1/3 - x

Substitute the value of y into eqn 2

2x + (1/3 - x) = 1/2

2x + 1/3 - x = 1/2

X = 1/2 - 1/3

X = 1/6

Since x represents machine A, therefore it takes Machine A 6hours to produce 1 widget