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Jobisdone [24]
3 years ago
11

Matt can paint a small house in 4 days, Harry can paint a small house in 5 days and Rebecca can paint a small house in 6 days. H

ow long will it take for Matt, Harry and Rebecca to paint one small house together? Give your answer as a fraction.
Mathematics
1 answer:
Semenov [28]3 years ago
3 0

Answer:

60/37 or 1  23/37 hours.

Step-by-step explanation:

Work in rates per hour:

1/4 + 1/5 + 1/6 = 1/x     where x is the time taken when they work together.

Multiply through by the LCD ( = 60x):

15x + 12x + 10x = 60

37x = 60

x = 60/37 = 1 23/37 hours.

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Vertex form: f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}

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