Problema Solution
a house painter can finish a house in 6 hours. his partner can finish the same house in 12 hours. which one of the following is the number of hours it would have taken them to finish the house if they had worked together?
Answer provided by our tutors
a house painter can finish a house in 6 hours thus his rate is 1/6 houses per hour
his partner can finish the same house in 12 hours thus his rate is 1/12 houses per hour
let x = the number of hours they need to finish the house together
1/x houses per hour is the together rate
1/6 + 1/12 = 1/x
by solving we find
x = 4 hr
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if they work together they will need 4 hours to finish the house together.