Wayne can do a job in 6 hours, while Susan can do the same job in 7 hours. How long would it take them to do the job if the worked together?

Thank you!!

the rate for each is 1job/6hrs,or 1job/7hours

timetogehter=1job/combined rate
= 1/(1/6 + 1/7)

go for it.

OK so find LCD which is 24, than multiply 4*1 and 3*1 making first fraction 4/24 and the second 3/24 which is 7/24. Than flip and 24/7 making the answer somewhere around 3/7 hours and I'm not sure on how to convert that into more technical answer... So what do you think?

To find out how long it would take Wayne and Susan to complete the job together, you can use the concept of work rates.

Wayne can complete the job in 6 hours, which means he can do 1/6th of the job in one hour (since it takes him 6 hours to complete the whole job). Similarly, Susan can complete the job in 7 hours, so she can do 1/7th of the job in one hour.

If they worked together, their work rates would add up. So Wayne and Susan, together, can complete 1/6th + 1/7th of the job in one hour.

To add fractions, you need to find a common denominator. In this case, the common denominator is 42 (6 * 7).

So, their combined work rate is (7/42) + (6/42), which equals (13/42).

Therefore, Wayne and Susan can complete 13/42 of the job in one hour if they work together.

To find how long it would take them to complete the whole job working together, you can calculate the reciprocal of the combined work rate:

1 / (13/42)

Simplifying this expression, we get:

42 / 13

Thus, it would take Wayne and Susan approximately 3.23 hours to complete the job if they worked together.