send mail to support@abhimanu.com mentioning your email id and mobileno registered with us! if details not recieved
Resend Opt after 60 Sec.
By Loging in you agree to Terms of Services and Privacy Policy
Claim your free MCQ
Please specify
Sorry for the inconvenience but we’re performing some maintenance at the moment. Website can be slow during this phase..
Please verify your mobile number
Login not allowed, Please logout from existing browser
Please update your name
Subscribe to Notifications
Stay updated with the latest Current affairs and other important updates regarding video Lectures, Test Schedules, live sessions etc..
Your Free user account at abhipedia has been created.
Remember, success is a journey, not a destination. Stay motivated and keep moving forward!
Refer & Earn
Enquire Now
My Abhipedia Earning
Kindly Login to view your earning
Support
Type your modal answer and submitt for approval
The efficiencies of A, B and C are in the ratio 5 : 3: 8. Working together they can complete a work in 30 days. A and B worked
together for 20 days. The remaining work will be completed by C alone in:
40 days
36 days
30 days
32 days
- The work completed by A, B, and C together in 30 days is one unit.
- Their efficiency ratio is 5:3:8, meaning collectively their work rate is 5 + 3 + 8 = 16 units per day.
- In one day, A, B, and C together do 1/30th of the work. Thus, their combined efficiency equates to 1/30 units/day.
- 1 unit of work = 1/30 units x 30 days = 30/30 = 1 unit
- A and B's combined efficiency is 5 + 3 = 8 units per day.
- A and B work together for 20 days: 8 units/day x 20 days = 160 units.
- Total work is 480 units in 30 days. They complete 160/480 = 1/3 of the work.
- Remaining work for C is 1 - 1/3 = 2/3 of the work.
- C's efficiency = 8 units/day.
- Time for C to complete 2/3 of work = 2/3 divided by 1/60 = 40 days.
- Option 1: 40 days is correct.
Report error
Access to prime resources