Problema Solution
Two mechanics, Bonita Rich and Pamela Pearson, take
6
hours to rebuild an engine when they work together. If each worked alone, Bonita, the more experienced mechanic, could complete the job
2
hours
faster than Pamela. How long would it take each of them to rebuild the engine working alone?
Answer provided by our tutors
the together rate of Bonita Rich and Pamela Pearson is: 1/6 engine per hour
let
x = the hours that Bonita needs to complete the job alone, x>0
1/x engine per hour the rate of Bonita
x + 2 = the hour Pamela needs to complete the job alone
1/(x + 2) engine per hour the rate of Pamela
1/x + 1/(x + 2) = 1/6
by solving we find:
x = 11.08 hr the time Bonita needs to rebuild the engine alone.
click here to see the step by step solution of the equation:
x + 2 = 11.08 + 2 = 13.08 hr the time Pamela needs to rebuild the engine alone.