Problema Solution
Together it takes
Ann
and
Dan
1
hr
12
min to sort recyclable materials. Alone,
Ann
would require
1
more
hour
than
Dan.
How long would it take
Dan
to do the job alone?
Answer provided by our tutors
let
x = the number of hours Dan needs to do the job alone, x>0
1/x job per hour is the rate of Dan
x + 1 = the number of hours Ann needs to do the job alone
1/(x + 1) job per hour is the rate of Ann
together they need 1 hr 12 min = 1 + 12/60 = 1.2 hr to finish the job
1/1.2 job per hour is the together rate
1/x + 1/(x + 1) = 1/1.2
by solving we find:
x = 2 hr
click here to see the step by step solution of the equation:
Dan needs 2 hours to dp the job alone.