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.
Shortcut Trick
(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?