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
Three persons A, B and C together can do a piece of work in 36 days. A and B together can do five times as much work as C alone; B and C together can do as much work as A alone. If A and C together can do n times as much work as B alone, then what is the value of n ?
1.5
2
2.5
3
- A, B, and C together work for 36 days to complete the task. This implies their combined work rate is 1/36 of the work per day.
- A and B together do five times the work C does alone, so their work rate is 5 times C's.
- B and C can complete the task at the same rate as A alone, meaning their combined work rate is equal to A's.
- We need to find n, where A and C together work n times the rate of B alone.
To solve:
- Let C's daily work rate be x.
- Hence, A + B's daily work rate is 5x.
- Let B's daily work rate be y.
- Then, A's daily work rate is (x + y) (from B and C's work rate).
- From A + B + C's collective rate, we have: (5x + x) + x = 1/36; simplifying gives x = 1/216.
- B and C’s total rate is 1/216 + y = A’s rate.
- Now, A and C's rate is (1/216 + 1/216) = 1/108; meanwhile, B’s rate is (1/216).
- Hence, n = (1/108) / (1/216) = 2.
?? Correct Answer: Option 2, which is 2.
Report error
Please Wait..
Access to prime resources