In a press, there are three types of printing machines, P, Q and R. Machine P can print 10,000 pages in 8 hours, machine Q can finish the same task in 10 hours and machine R can finish the same task in 15 hours. All the three machines start the work at 9 : 00 a.m. Machine P breaks down at 11 : 00 a.m. and machines Q and R finish the task. The approximate time of completion of the job is
1 : 30 p.m.
The correct answer is 1 : 30 p.m.
Use the formula Work = Rate × Time to find unknown values. If efficiency changes or some workers/machines stop, calculate the work done in phases and sum them up to the total work, or find the remaining work and the time needed for the remaining workers/machines. This problem is a classic example of how to handle scenarios where the set of workers changes during the task completion.
If 72 persons build a 220-m-long wall in 6 days, then how many persons will be required to build the same type of wall of 550-m length in 5 days?
A and B can complete a work in 16 days and 12 days respectively. Both work for 4 days and then A leaves. Find how much time will B take to complete the remaining work?
A can do a piece of work in 66 days and B can do the same work in two-third of the time taken by A. Working together, what part of the same work can they complete in 12 days?
A can do a work in 10 days. He worked for 6 days and left the work. The remaining work was done by B in 8 days. In how many days can B alone do 65% of the work?
A and B together can do a certain work in 36 days, whereas B and C together can do it in 30 days. A, B and C together can complete the same work to 24 days. In how many days can A alone complete 33 \(\frac{1}{3}\) % of the same work?
18 men can complete a certain work in 15 days working 8 hours a day. How many men can complete the same work in 12 days working 9 hours a day?
A and B can do a piece of work in 24 days and 48 days, respectively. working together, they completed the work in 12 days with the help of C. How long (in days) will C take of do five-sixth of the work all by himself?
A and B can do a certain work in 25 and 20 days, respectively. They work together for 4 days. The remaining work is completed by C in 8 days. C alone can complete 40% of the original work in:
A certain number of persons can complete a task in 28 days. If there were 150 persons more, it would have taken 7 days less for the task to be completed. How many persons are there in the beginning?
A works twice as fast as B, whereas A and B together can work three times as fast as C. They all work together on a job and get a sum of Rs 17,136 for the completion of the job. The share of A is:
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?