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Time and Work, 1., , A and B together complete a piece of work, in 8 days while B and C together in 12 days, and B, C and A together in 6 days. In how, many days A, and C together complete the, work., A, , B, , 3., , B, , A, B and C can complete a work in respectively 9, 10 and 15 days. B and C starts, work together and left after two days. Then, find in how many days A alone completes, the remaining work ?, A, B, , C, , C, B, C, , B, A, , A, , 2, , (a) 6 days, , (b) 8 days, , (c) 10 days, , (d) 12 days, , A and B can complete a work in respectively 12 and 15 days. A alone start the, work and after three days B join the work., In how many days they complete the work?, A, , (a) 2 days, , (b) 8 days, , (c) 10 days, , (d) 6 days, , While working 7 hours a day, A alone can, complete a piece of work in 6 days and B, alone in 8 days. In that time would they, complete it together working 8 hours a day?, A, B, , B, A, , 3, , (a) 2 days, , (b) 8 days, , (c) 5 days, , (d) 6 days, , [ 1 ], , A, , C, , 4., 2., , C, , B, , (a) 3 days, , (b) 4 days, , (c) 2.5 days, , (d) 3.6 days, , Youtube Channel - Harendra Maths
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5., , Harendra singh do, , 1, work in 5 days. Bhim, 2, , 7., , 3, part work of some work in 9 days., 5, 2, While navjot do, part of work in 8 days., 3, Then find in how many days they together, completes the total work., , do, , A and B can do a work in 20 days and 25, day respectively. They start work together., B left work 3 day before work finish then, work comple in how many day., A, B, B, , 1, 2, 3, 5, , 2, 3, , (a) 4, , (b) 5, , (c) 10, , (d) 12, , 8., 6., , A+B and B+C can do a work in 12 days and, 16 days respectively. If A work for 5 days, and B work for 7 days on that work then C, completes the remaining work in 13 days., Then calculate in how much time C would, complete the whole work?, A, , B, , B, , 15, , (a) 12 days, , (b) 8 days, , (c) 10 days, , (d) 20 days, , A, B and C can complete a piece of work in, 10, 12 and 15 days respectively. They, started working together. But A left the, work before 5 days of its completion. B also, left the work after 2 days after A left the, work. In how many days the work was completed?, A, B, , A, , A, , B, , A, , C, (a) 45, (c) 25, , [ 2 ], , C, , C, , B, , C, (b) 11, (d) 24, , (a) 7, , (b) 11, , (c) 10, , (d) 16, , Youtube Channel - Harendra Maths
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9., , Harendra singh is twice efficient than, Satish. They together completes the work, in 18 days. Then find in how many days, Harender singh alone completes the work., , 11., , Harender singh completes the, , the total works in, , 1, work of, 2, , 3, th time of Bhim. Both, 4, , can complete the work in 18 days. Then, find in how many days Bhim alone completes the total work., (a) 16, , (b) 27, , (c) 20, , (d) 25, , 3, 4, , (a) 40, (c) 20, , 10., , (b) 30, (d) 25, , Harendra singh is 25% more efficient than, Satish. Satish completes the work in 20, days. Then find in how many days Harender, singh alone completes the work., , 12., (a) 16, , (b) 30, , (c) 20, , (d) 25, , The ratio of the amount of work done by, (x - 1) labours in (x + 1) days and than done, by (x + 1) labours in (x + 2) days is 5 : 6., The the value of x is., (x - 1), , (x + 1), (x + 1), , (x + 2), x, , [ 3 ], , (a), , (b), , (c), , (d), , Youtube Channel - Harendra Maths
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13., , Some men can do a piece of work in 160, days. If 18 more men joins then work finish 20 days earlier find the number of men, initially., , (a) 120, , (b) 111, , (c) 100, , (d) 126, , 15., , A and B can complete a task in 30 days, when working together. After A and B have, been working together for 11 days, B is, called away and A, all by himself completes, the task in the next 28 days. Had A been, working alone, the number of days taken, by him to complete the task would have, been:, A, , B, A, B, , A, , (a) 44, , 4, days, 19, , (c) 10 days, , 14., , A +B complete a work in 24 days if they, start work together. After 20 days A left, the work and the whole work is completed, in 26 days. In how many days A alone does, the whole work., A+ B, A, A, (a) 99, , (b) 36, , (c) 72, , (d) 26, , [ 4 ], , Youtube Channel - Harendra Maths, , (b) 11 days, (d) 26 days, , B,, A
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16., , P, Q and R are the three typist working simultaneously can type 216 pages in 4, hours, In 1 hour R can type as many pages, more than Q as Q can type more than P. R, can type as many pages in 5 hours as P in, 7 hours. How many pages does each of, them type per hour?, P, Q, , 18., , 20 Men can do a piece of work in 30 days, if they working 6 hours per day. Then find, in how many days 15 men finish the same, work if they working 8 hours per day. If, efficiency of first group is 50% more than, 2nd group., , R, , R, Q, Q, P, , R, (a) 40, (c) 45, , P, 7, , (a) 21,18 & 15, , (b) 21 & 15, , (c) 18,21, & 16, , (d) 23 & 12, , 19., , A fort has provisions for 50 days. If after, 10 days they are strengthened by 500 men, and the food lasts for 35 days longer, the, number of men originally in the fort were., , (a) 2500, (c) 3500, 17., , 20 Men can do a piece of work in 30 days, if they working 6 hours per day. Then find, in how many days 15 men finish the same, work if they working 8 hours per day., , (a) 40, , (b) 50, , (c) 20, , (d) 30, , [ 5 ], , (b) 30, (d) 25, , Youtube Channel - Harendra Maths, , (b) 3000, (d) 4000
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20., , A garrison of 2000 men has provision of, ratio n fo r 6 6 d a ys . At the e nd o f a, fortnight, reinforcement arrives and it is, found that ration will last only for 20, da ys mo r e. T h e s t re n gth o f t h e, reinforcement is, , (a) 2000, (c) 2600, , 22., , A contractor undertook to complete a, project in 90 days and employed 60 men, 3, of the, on it. After 60 days, he found that, 4, work has already been completed. How, many men can he discharge so that the, project may be completed exactly on time?, , 3, 4, , (b) 2200, (d) 3200, , (a) 15, (c) 20, , 21., , A road 12 km length will be constructed, in 350 days. so 45 workers were employed., But after 200 days it was found that only, 4.5 km road qwas completed. Now how, many more people were need to finish the, work in the specified time?, 12 km, 4.5, km, (a) 55, (c) 65, , [ 6 ], , (b) 60, (d) 63, , Youtube Channel - Harendra Maths, , (b) 10, (d) 25
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23., , A contractor undertook to finish a certain, work in 124 days and empolyed 120 men., After 64 days, he found that he had already, 2, of the work. How many men can, done, 3, be discharged now so that the work may, finish in time?, , 10 men can do a piece of work in 15 days, while 20 women can do it in 30 days. In, how many days can 20 women and 10 men, do it., 30, , (a) 11, (c) 12, , 2, 3, , 24., , 25., , (a) 56, , (b) 40, , (c) 20, , (d) 25, , 10 men can do a piece of work in 15 days, while 20 women can do it in 60 days. Then, find one man can do work equal to how, many women ?, 60, , (a) 8, (c) 14, , [ 7 ], , (b) 10, (d) 12, , Youtube Channel - Harendra Maths, , (b) 9, (d) 10
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26., , Two workers A and B working together can, complete a job in 5 days. If A work twice as, efficiently as he actually did and B work, 1/3 as efficiently as he actually did , then, the work would have been completed in 3, days. A alone can complete the work in how, many days?, A, , 27., , Ajay along with Vijay do a work in 10 days., If Ajay do a work in 1/2 efficiency and Vijay, do 5 times of his efficiency than they, complete work in 50% time. How many days, Vijay complete the whole work., , B, A, B, , A, (a) 6, , 1, 4, , (c) 20, , (b) 5, , (a) 30, (c) 20, , 2, 5, , (b) 35, (d) 25, , (d) 25, , 28., , A man, a woman and a boy can complete a, job in 3, 4 and 12 days. How many boys, must assist 1 man and 1 woman to complete the job in, , 1, of the days, 4, , 1, 4, , [ 8 ], , (a) 1, , (b) 4, , (c) 19, , (d) 41, , Youtube Channel - Harendra Maths
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29., , Two workers A and B are engaged to do a piece, of work. A working alone will take 27 hours, more to complete the work that when work, together. If B worked alone, will take 3, hours more than when work together. the, time required–, A, , 31., , Harender Singh takes 5 days less than, Bhim to do a work. They both can do the, same work in 6 days while working to, gether. Find in how many days Bhim can do, this work., , B, , A, B, 3, , (a) 5 hours, , (b) 8 hours, , (c) 4 hours, , (d) 9 hours, , (a) 12 days, (c) 10 days, , 32., , Harender Singh takes 5 days less than, Bhim to do a work. They both can do the, same work in 11, , 30., , Two workers A and B are engaged to do a, piece of work. A working alone will take 8, hours more to complete the work that, when work together. If B worked alone, will, 1, hours more than when work totake 4, 2, gether. the time required–, A, , B, , A, B, , 4, , (b) 8 hours, , (c) 4 hours, , (d) 6 hours, , [ 9 ], , 1, days, 9, , while working to, , gether. Find in how many days Bhim can, do this work., , 1, 9, (a) 25 days, (c) 30 days, , 1, 2, , (a) 5 hours, , (b) 15 days, (d) 20 days, , Youtube Channel - Harendra Maths, , (b) 15 days, (d) 20 days
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33., , A canal of a village can be cleaned by 24, villagers in 12 days. The number of days, in which 36 villages can clean the canal, , 35., , is?, , A can do a work in 20 days and B in 5 days., If efficiency of C is equal to the efficiency, of A + B. Then in how many days they all, can complete the whole work?, A, , B, 5, C, , A, , 34., , (a), , (b), , (c), , (d), , (a) 5, (c) 8, , A can do a certain work in the same time, in which B and C together can do it. If A, and B together could do it in 10 days and, c alone in 50 days. then A alone could do, the work in :A, B, , C, , B, , B, , A, 10, , C, , 36., , (b) 2, (d) 10, , A and B together can complete a work in 8, days. B and C working alone complete the, same work in 12 days. A and B Starts together and works for 4 days then A leave, this work, B works for next two days and he, also leaves now remaining work is completed by C in how many days., A, , B, B, , C, A, , A, (a) 16, (c) 21, , 2, 3, , (b) 28, , A, , 4, , B, 2, , 7, , C, , (d) 18, (a) 4, (c) 7, , [ 10 ], , B, , Youtube Channel - Harendra Maths, , (b) 11, (d) 6
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37., , 3 men, 4 women and 6 boys can together, complete the work in 7 days. Each women, is twice eficient than each man and each, boy is half efficient than each man. Then, find how many women together can complete the work in 7 days., , (a) 6, , (b) 7, , (c) 4, , (d) 8, , [ 11 ], , 38., , A group of men decided to do a work in 12, day but 8 men of them were absent. If the, rest of the group did the work in 20days., find the original no of men, , (a) M=25, , (b) M=30, , (c) 40, , (d) 20, , Youtube Channel - Harendra Maths