A can do a piece of work in 15 days and b in 10 days how long will they take together to do it

Free

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.

Win over the concepts of Time and Work and get a step ahead with the preparations for Quantitative Aptitude with Testbook.

India’s #1 Learning Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Get Started for Free Download App

Trusted by 3.3 Crore+ Students

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

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`

∴ Both A and B together can finish the work in = 6 days

  Is there an error in this question or solution?