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A painter can do a given job in 6 hours. His helper can do the same job in 10 hours. The painter begins to work and after two hours is joined by the helper. In how many hours will they complete the job?
Let t = no. of hrs required for them to complete the job
Let the completed job = 1
Painter will be on the job = (t+2)
Helper will be on the job = t
Multiply equation by 30
Cancel out the denominators and you have:
5(t+2) + 3t = 30
5t + 10 + 3t = = 30
8t = 30 - 10
t = 2.5 hrs with the helper on the job
Check solution on calc
.75 + .25 = 1