A alone can complete a work in 6 days and B alone can complete the same work in 8 days. In how many days both A and B together can complete the same work?

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A alone can complete a work in 6 days and B alone can complete the same work in 8 days. In how many days both A and B together can complete the same work?

A48/13 days

B35/13 days

C24/9 days

D24/7 days

Answer:

D. 24/7 days

Read Explanation:

Solution:

Given:

A alone can complete a work in 6 days and B alone can complete the same work in 8 days.

Formula Used: If A can do a work in ‘x’ days, B can do the same work in ‘y’ days, then time taken by them to complete the work together = x × y/(x + y) days

Calculation:

Using the above formulae, we have

Time taken by them to complete the work together = 6 × 8/(6 + 8) = 24/7 days

∴ Required time = 24/7 days.

Alternate method:

A and B together Complete the Same piece of work in

Total Efficiency of A and B is 4+3=7

24/7 days.

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