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# Joint work

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A and B working together can finish a job in 40 days. They worked together for a number days and A left the work. B alone finished the remaining work in 24 days. For how many days did they work together? Thanks for help.

Jun 28, 2022

#1
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A and B working together can finish a job in 40 days. They worked together for a number days and A left the work. B alone finished the remaining work in 24 days. For how many days did they work together?

there will be no exact number answer if they work at different rates so I am going to assume that they both work at the same pace.

So it it takes the two 40 days to do the jobs, I will assume that it will take one 80 days.

So in 24 days one will be able to do    24/80   of the job

So that means that 56/80 was already done.

$$\frac{56}{80}*40 = 28days$$

They worked together for 28 days.

Jun 28, 2022

#1
+2

A and B working together can finish a job in 40 days. They worked together for a number days and A left the work. B alone finished the remaining work in 24 days. For how many days did they work together?

there will be no exact number answer if they work at different rates so I am going to assume that they both work at the same pace.

So it it takes the two 40 days to do the jobs, I will assume that it will take one 80 days.

So in 24 days one will be able to do    24/80   of the job

So that means that 56/80 was already done.

$$\frac{56}{80}*40 = 28days$$

They worked together for 28 days.

Melody Jun 28, 2022