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1. Martin can pour a concrete walkway in 6 hours working alone. Victor has
more experience and can pour the same walkway in 4 hours working
alone. How long will it take both people to pour the concrete walkway
working together?

Respuesta :

Answer:

2.4 hr. = time working together

Step-by-step explanation:

Let x = time working together

x/6 = work done by Martin

x/4 = work done by Victor

Martin's part + Victor's part = 1 jog done

x/6 + x/4 = 1  Multiply thru by 12

2x + 3x = 12

5x = 12

x = 2.4 hr.

fichoh

The time taken to pour concrete on the walkway using their combined rate is 2 hours 24 minutes.

To solve :

Time taken by Martin = 6 hours

Time taken by Victor = 4 hours

Recall :

Rate = 1 ÷ time

Hence ;

  • Martin's work rate = 1/6
  • Victor's work rate = 1/4

Working together :

  • Combined rate = 1/6 + 1/4 = 5/12

Therefore, the time taken if they work together will be :

  • 1 ÷ combined rate
  • Time taken = 1 ÷ (5/12)
  • Time taken = (1 × 12/5) = 2.4 hours = 2 hours 24 minutes

Therefore, The time taken if they work together will be 2.4 hours.

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