Can do a job in 10 days B can do the same job in 15 days if they work together how long does it take for them to complete the job?

A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?

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150 Questions 150 Marks 90 Mins

Given:

A does a work = 10 days

B does the same work = 15 days

Concept used:

Firstly we will find 1 day work of both A and B, then by adding we can get collective days from them,

Calculation:

According to the question;

A's 1 day work = 1/10

B's 1 day work = 1/15

(A + B)'s 1 day work = 1/10 + 1/15

⇒ (3 + 2)/30 = 5/30 = 1/6 

∴ They together will do the same work in 6 days.

 (A + B)'s  together same work = (A × B)/(B + A)

⇒ (10 × 15)/(15 + 10) = 150/25 = 6

∴ They together will do the same work in 6 days.

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