Quant Aptitude
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Take Total Work = LCM of the given days, then Total Work = Efficiency × Time.
Example: A in 10 days, B in 15 → Total = 30 units; A = 3 units/day, B = 2 units/day.
Same as work, but emptying pipes / leaks have negative efficiency. If a pipe fills in h but takes h with a leak, the leak alone empties a full tank in hours.
A can do a piece of work in 10 days and B can do it in 15 days. How long will they take if both work together?
A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days can A alone finish the remaining work?
A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in
20 men can finish a piece of work in 30 days working 6 hours a day. In how many days can 15 men finish it working 8 hours a day?
A pipe can fill a tank in 15 hours. Due to a leak in the bottom, it is filled in 20 hours. If the tank is full, how much time will the leak take to empty it?
A, B, and C can do a piece of work in 6, 8, and 12 days respectively. Doing the work together, they get an amount of Rs. 1350. What is the share of B in that amount?
A can finish a job in 20 days and B in 30 days. How many days will they take working together?
A and B together finish a job in 12 days, and A alone takes 20 days. How long would B alone take?
12 men can build a wall in 20 days. How many men are needed to build the same wall in 15 days?
A can do a job in 6 days and B in 12 days. They work on alternate days, starting with A. In how many days will the job be completed?
A can do a job in 12 days and B in 20 days. They work together and are paid Rs. 4,800. What is A's share?
Pipe A can fill a tank in 10 hours and pipe B can empty it in 15 hours. If both are opened together on an empty tank, how long will it take to fill?
A is 50% more efficient than B. Working together, they finish a job in 18 days. How long would A alone take?
A and B can do a job in 10 days, B and C in 15 days, and C and A in 12 days. How long will A, B and C take together?
A and B can finish a job in 12 days, B and C in 15 days, and A and C in 20 days. How long would B alone take?
A and B together finish a job in 6 days, B and C in 10 days, and A, B and C together in 5 days. How long would A and C together take?
25 workers working 8 hours a day complete a road in 18 days. How many days will 30 workers take working 6 hours a day?
A can finish a job in 20 days and B in 30 days. They work together for 6 days, after which A leaves. How many more days will B take to finish the job?
A starts a job alone and could finish it in 24 days. After 6 days, B, who could finish it alone in 18 days, joins him. How many more days will they take together to finish it?
A can do a job in 10 days and B in 15 days. They work together for 3 days, after which C joins them and the three finish the remaining work in 1 more day. How long would C alone take to do the whole job?
A and B can do a job in 9 and 12 days respectively. They work on alternate days, starting with B. How long will the job take?
A can do a job in 8 days and B in 12 days. With C's help, the three finish it in 3 days and receive Rs. 3,600. What is C's share?
A pipe fills a tank in 8 hours, but because of a leak it takes 2 hours longer. If the tank is full and the pipe is closed, what fraction of the tank will the leak empty in 10 hours?
Pipes A and B can fill a tank in 12 and 15 hours, while pipe C can empty it in 20 hours. If all three are opened together, how long will the tank take to fill?
A is thrice as good a workman as B and takes 10 days less than B to complete a piece of work. In how many days can they finish the work together?
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A contractor undertook to finish a work in 120 days and employed 100 men. After 40 days, only one-fourth of the work was complete. How many additional men must he employ to finish on time?
A can complete a work in 12 days working 8 hours a day, and B can complete the same work in 8 days working 10 hours a day. If both work together for 8 hours a day, in how many days will the work be completed?
A can do a job in 15 days. B is 25% more efficient than A, and C is 20% less efficient than B. How long will A, B and C take working together?
2 men and 3 women can finish a job in 10 days, while 3 men and 2 women can finish it in 8 days. How long will 2 men and 1 woman take?
A and B can do a job in 15 and 10 days respectively. They start together, but A leaves 2 days before the job is completed. How long does the whole job take?
A, B and C can finish a job in 8, 12 and 16 days respectively. A works on day 1, B on day 2, C on day 3, A again on day 4, and so on. In how many days will the job be finished?
A and B take a job for Rs. 7,200. A alone could do it in 16 days and B in 24 days. They work together for 6 days, then A leaves and B finishes the rest. What is B's share of the money?
Pipes A and B can fill a tank in 20 and 30 minutes respectively. Both are opened together, but after a while A is closed, and the tank is full 18 minutes after the start. After how many minutes was A closed?
If 6 men and 8 boys can do a piece of work in 10 days, while 26 men and 48 boys can do the same work in 2 days, how long will 15 men and 20 boys take to do it?