A can lay railway track between two specified stations in 16 days, while B can complete the same task in 12 days. When C assists them, they manage to finish the job in just 4 days. How long would it take for C to complete the job on their own?
\(9\tfrac{3}{5}\) days
Work in one day:
\(A = \dfrac{1}{16},\quad B = \dfrac{1}{12},\quad A + B + C = \dfrac{1}{4}\)
Compute A + B with LCD 48:
\(\dfrac{1}{16} + \dfrac{1}{12} = \dfrac{3}{48} + \dfrac{4}{48} = \dfrac{7}{48}\)
Then C's one-day work:
\(C = \dfrac{1}{4} - \dfrac{7}{48} = \dfrac{12 - 7}{48} = \dfrac{5}{48}\)
So C alone takes:
\(\dfrac{48}{5} = 9\tfrac{3}{5} \text{ days} = \mathbf{9.6 \text{ days}}\)
Similar Questions
A and B can complete a task together in 12 days, while B and C can finish it in 16 days. After A works on it for 5 days and B for 7 days, C takes the remaining 13 days to finish the work. How many days would it take for C to complete the work alone?
A alone can complete a job in 12 days and B alone in 18 days. A and B agree to do the work for ₹7,200. With C's help they finish it in 5 days. How much should C be paid?
The ratio of the time taken by A and B to complete a task is 3 : 2. If B can complete the task alone in 18 hours, how many hours will they take to complete the task if they work together?
A is three times more efficient as a worker than B, which allows A to complete a job in 60 days less than B. If they work together, they can finish the job in:
A and B can complete a certain task together in 30 days. After A works for 16 days, B is left to finish the remaining work by himself in 44 days. How many days would it take for B to complete the entire task on his own?
A, B, and C can complete a certain task in 20, 30, and 60 days respectively. How many days will it take for A to finish the work if he receives help from B and C every third day?
If 6 machines complete a task in 10 days, how many days for 15 machines at the same rate?
A and B can finish a certain job in 28 and 35 days, respectively. They started working together, but A left after a while, and B managed to complete the remaining work in 17 days. How many days did A work before leaving?
A, B, and C are capable of completing a job in 30, 45, and 90 days, respectively. A works every day, while B and C join A every fifth day. How long will it take to finish the task?
A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall?
Important Questions from Time and Work
Mohan can do a piece of work in 10 days and Sohan in 15 days. They started working together, but after 3 days Mohan left the work . What time will Sohan take to finish the work?
A tank is filled in 8 hours by three taps A, B and C. The tap C is thrice as fast as B and B is twice as fast as A. How much time will pipe B alone take to fill the tank?
Had been one menless, then the number of days required to do a piece of work would have been one more. If the number of Man. Days required to complete the work is 56, how many workers were there?
A can do a piece of work in 16 hours, B and C can do it in 8 hours while A and C can do it 12 hours. How long will B alone take to do it?
- lf 12 men can do a work in 20 days, in how many days will the work be done by 15 men-
