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The Westminster Widget Company has an old machine that can produce 24 widgets in three hours. Now they have purchased a new
machine that can produce 48 widgets in four hours. Working together, how long will it take the two machines to produce 120
widgets?

Respuesta :

sqdancefan

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Answer:

  6 hours

Step-by-step explanation:

The old machine produces widgets at the rate of ...

  (24 widgets)/(3 h) = 8 widgets/h

The new machine produces widgets at the rate of ...

  (48 widgets)/(4 h) = 12 widgets/h

The total rate of production of the two machines is ...

  (8 +12) widgets/h = 20 widgets/h

Then the time required to produce 120 widgets is ...

  (120 widgets)/(20 widgets/h) = 6 h

Working together, the two machines can produce 120 widgets in 6 hours.

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