Home
Class 8
MATHS
P,Q and R can complete a job in 18 days,...

P,Q and R can complete a job in 18 days,24 days and 36 days respectively. P started it and worked for 3 days. P then left Q then worked on it for 8 days. Q then left. R completed the remaining part of the job in 12 days. Find the time for which R worked (in days).

A

12

B

18

C

4

D

27

Text Solution

Verified by Experts

The correct Answer is:
B
Part of the job that P compound =3
`((1)/(18))=(1)/(6)`
Part of it that Q completed`=8((1)/(24))=(1)/(3)`
Part of it that R completed
`=1-((1)/(6)+(1)/(3))=(1)/(2)`
Time for which R worked (in days)
`=(1)/(2)(36)=18`.
Promotional Banner

Topper's Solved these Questions

  • TIME AND WORK PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-2)|20 Videos

  • TIME AND DISTANCE

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 2 )|3 Videos

  • TIME AND WORK, PIPES AND CISTERNS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL-3)|7 Videos

Similar Questions

Explore conceptually related problems

P,Q and R can complete a job in 20 days, 30 and 40 days respectiely. They started working on it. Q and R left afte working for certain number of days and P alone completed the remaing work 7 days. Find the time taken to complete the job (in days)

A, B and C can individually complete a task in 24 days, 16 days and 32 days respectively. If A and C started the work and worked for 6 days and left, then the number of days required by B to complete the remaining task is :

A, B and C can individually complete a piece of work in 24 days, 15 days and 12 days. respectively. B and C started the work and worked for 3 days and left. The number of days required by A alone to complete the remaining work is :

P,Q and R can complete a job in 6 days, 9 days and 12 days, respectively. They worked together and completed it. They earned a total of Rs. 2600. Find P's share ( in Rs.)