TIME AND WORK SET 08
1. A and B alone can do a piece of wok in 8 and 18 days respectively. In how many days the work will be completed if they both work on alternate days starting with B?
A) 6 5/9 days B) 5 days C) 10 7/9 days
D) 10 9/7 days E) 6 2/9 days
2.A, B and C can all together do piece of work in 10 days, in which B takes three times as long as A and C together do the work and C takes twice as long as A and B together take to do the work. In how many days B can alone do the work?
A) 35 days B) 33 days C) 43 days D) 40 days E) 45 days
3.20 men can complete a piece of work in 14 days. 7 men started the work and after 20 days, 7 more men joined the work. In how many days the remaining work will be completed?
A) 18 days B) 20 days C) 8 days D) 12 days
2.A, B and C can all together do piece of work in 10 days, in which B takes three times as long as A and C together do the work and C takes twice as long as A and B together take to do the work. In how many days B can alone do the work?
A) 35 days B) 33 days C) 43 days D) 40 days E) 45 days
3.20 men can complete a piece of work in 14 days. 7 men started the work and after 20 days, 7 more men joined the work. In how many days the remaining work will be completed?
A) 18 days B) 20 days C) 8 days D) 12 days
E) 10 days
4.20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?
A) 2/5 B) 3/7 C) 4/7 D) 3/8 E) None of these
5. A, B and C can alone complete a work in 10, 12 and 15 days respectively. A and C started the work and after working for 4 days, A left and B joined. In how many days the total work was completed?
A) 6 5/9 days B) 6 2/9 days
4.20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?
A) 2/5 B) 3/7 C) 4/7 D) 3/8 E) None of these
5. A, B and C can alone complete a work in 10, 12 and 15 days respectively. A and C started the work and after working for 4 days, A left and B joined. In how many days the total work was completed?
A) 6 5/9 days B) 6 2/9 days
C) 6 days D) 5 4/9 days E) 7 2/9 days
6.A, B and C can alone complete a work in 10, 12 and 15 days respectively. All started the work but B left the work 3 days before completion. How much work was then done by A and B together in the total work?
A) 2/3 B) 3/4 C) 1/3 D) 3/5 E) 2/5
7.2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?
A) 9 days B) 6 days C) 7 days D) 12 days
6.A, B and C can alone complete a work in 10, 12 and 15 days respectively. All started the work but B left the work 3 days before completion. How much work was then done by A and B together in the total work?
A) 2/3 B) 3/4 C) 1/3 D) 3/5 E) 2/5
7.2 men and 3 women can together complete a piece of work in 4 days and 3 men and 2 women together can complete work in 3 days. In how many days 10 women will complete this work?
A) 9 days B) 6 days C) 7 days D) 12 days
E) 10 days
8.A alone can complete a work in 5 days more than A+B together and B alone can complete a work in 45 days more than A+B together. Then in how many days A and B together can complete the work?
A) 16 days B) 21 days C) 15 days D) 20 days
8.A alone can complete a work in 5 days more than A+B together and B alone can complete a work in 45 days more than A+B together. Then in how many days A and B together can complete the work?
A) 16 days B) 21 days C) 15 days D) 20 days
E) 25 days
9.20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?
A) 18 B) 24 C) 20 D) 16 E) 15
10.A alone can complete a work in 21 days. If B is 40% more efficient than A, then in how many days A and B together can complete the work?
A) 8 1/4 days B) 8 3/4 days C) 9 days
9.20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 8 men start the work and after working for 21 days, they are replaced by x women. If the remaining work is to be completed by x women in 9 days, then how many women should be employed?
A) 18 B) 24 C) 20 D) 16 E) 15
10.A alone can complete a work in 21 days. If B is 40% more efficient than A, then in how many days A and B together can complete the work?
A) 8 1/4 days B) 8 3/4 days C) 9 days
D) 10 3/4 days E) 11 1/3 days
Answer Keys:
1.C
2.D
3.E
4.B
5.B
6.A
7.B
8.C
9.D
10.B
Answer Keys:
1.C
2.D
3.E
4.B
5.B
6.A
7.B
8.C
9.D
10.B
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