Question

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. How long will it take for Matt, Harry and Rebecca to paint one small house together? Give your answer as a fraction.

Answer 1

60/37 or 1 23/37 hours.

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.