Question

A takes 8 days to finish a piece of work. B takes 10 days to finish the same work. How long will it take to finish the work when both of them are working together? *
18 days
2 days
9 days
40/9 days​

Answer 1

Answer:

Please refer the above attachment for detailed answer.

Correct Answer :- 40/9 days.

Explanation:

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Answer 2

Answer:

A and B together can complete the work in 40/9 days  

Explanation:

Given that  A can complete a piece of work in 8 days

                  B can complete same work in  10 days

let the piece of work is x

     ⇒   A can complete x work in 8 days    

then the work done by A in 1  day =   $\frac{x}{8}$

     ⇒    B can complete x work in 10 days

then the work done by B in 1 day =  $\frac{x}{10}$

the work done by both A and B =   $\frac{x}{8} + \frac{x}{10}$

                                                     =  $\frac{10x +8x}{8(10)}$  = $\frac{18x}{80}$ = $\frac{9x}{40}$

  $\frac{9x}{40}$ work can be done by A and B in 1 day

    the number of days to complete x   =   $\frac{x}{\frac{9x}{40} }$   days

                                                                =  40/ 9 days  

 ⇒ A and B can complete the work in 40/9 days