Problema Solution
Sue, an experienced shipping clerk, can fill a certain order in 3 hours. Jim, a new clerk, needs 4 hours to do the same job. Working together, how long will it take them to fill the order.
Answer provided by our tutors
the rate of Sue is 1 form in 3 hour or 1/3 forms per hour
the rate of Jim is 1 form in 4 hour or 1/4 forms per hour
let x be the time they need to fill the form together that is their together rate is 1/x forms per hour
now we can write
1/3 + 1/4 = 1/x
by solving the equation we find
x = 12/7 hours = 1 5/7 hours = 1 hour 5*60/7 min = 1 hour 42 min 6*60/7 sec
x = 1 hour 42 min 51 seconds
click here to see the step by step solution of the equation
Working together, they will fill the order in 1 hour 42 min 51 seconds.