1613 Views

P is twice as fast as Q and R together .Working together ,all three can do a work in 21 days.In how many days can Q and R together do the work


Simran 9th Jan, 2020
Answer (1)
KUNAL LANJEWAR 14th Jan, 2020

Hello,

Let, the work done by P be p

and the work done by Q and R together be x

So, from first condition, p = 2x

All three can do work in 21 days.

So, 21 [ ( 1 / 2x ) + ( 1 / x ) ] = 1

So, 21 ( 3x / 2 x^2 ) = 1

So, 2x = 3 x 21

So, x = 63 / 2

So, x = 31.5 days.

So, Q and R can do the work together in 31.5 days

Best Wishes.

Related Questions

Chandigarh University Admissi...
Apply
Ranked #1 Among all Private Indian Universities in QS Asia Rankings 2025 | Scholarships worth 210 CR
Amity University, Noida Law A...
Apply
700+ Campus placements at top national and global law firms, corporates, and judiciaries
Amity University, Noida BBA A...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
UPES | BBA Admissions 2025
Apply
#41 in NIRF, NAAC ‘A’ Grade | 100% Placement, up to 30% meritorious scholarships | Last Date to Apply: 28th Feb
MAHE Manipal M.Tech 2025
Apply
NAAC A++ Accredited | Accorded institution of Eminence by Govt. of India | NIRF Rank #4
Sanskriti University LLM Admi...
Apply
Best innovation and research-driven university of Uttar Pradesh
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books