Janet, a clerk, can fill an order in 6 hours. Jim a new clerk needs 7 hours to do the same jobworking together how long will it take them to fill the order?

Question

the solution is _____ hours?

Answer 1

Janet does 1/6 of the job in 1 hour

Jim does 1/7 of the job in 1 hour

let x=# of hours that it takes them to do the job together

(1/6)x+(1/7)x=1 (job finished)

multiply both sides by 42

(42)(1/6)x+(42)(1/7)x=42(1)

7x+6x=42

13x=42

x=42/13

x=3 3/13 hours or 3.230769 hours