Problema Solution
Working together, Tanner and Joel can grade their students' projects in 2 hours. Working alone, it would take Tanner 2 hours longer than it would take Joel to grade the projects. How long, working alone, would it take Joel to grade the projects?
Answer provided by our tutors
let
t = the hours Tanner needs to to grade the projects alone
1/t projects per hour is the rate of Tanner
j = the hours Joel needs to to grade the projects alone
1/j projects per hour is the rate of Joel
Working alone, it would take Tanner 2 hours longer than it would take Joel to grade the projects:
t = 2 + j
Tanner and Joel can grade their students' projects in 2 hours thus their together rate is: 1/2 projects per hour
1/t + 1/j = 1/2
plug t = 2 + j into the last equation:
1/(2 + j) + 1/j = 1/2
by solving we find:
j = 3.24 hr approximately
click here to see the step by step solution of the equation:
it would take 3.24 hr approximately for Joel to grade the projects alone.