Question 551352
A Painter can do a given job in 6hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will the complete the job?
.
Let x = time (hours) worked by Painter (also to complete job)
then
x-2 = hours worked by helper
.
x(1/6) + (x-2)(1/10) = 1
multiplying both sides by 60:
x(10) + (x-2)(6) = 60
10x + 6x-12 = 60
16x - 12 = 60
16x = 72
x = 72/16
x = 4.5 hours