Problema Solution
jake can cut a cord of firewood in 3 fewer hours than dwight can. when they work together, it take them 2 hours. how long would it take each of them to do the job alone?
Answer provided by our tutors
let
x = the number of hours Jake needs to do the job alone, x>0
1/x = the rate of Jake
x + 3 = the number of hours Dwight needs to do the job alone
1/(x + 3) = the rate of Dwight
1/2 job per hour is the together rate
1/x + 1/(x + 3) = 1/2
by solving we find:
x = 3 hr
click here to see the step by step solution of the equation:
3 + 3 = 6 hr
Jake needs 3 hours to finish the job alone.
Dwight needs 6 hours to finish the job alone.