a) 2.75 days
b)┬а3.75 days
c) 4.75 days
d) 5.75 days
Explanation:
1/6 + 1/10 = 8/30 = 4/15
15/4 = 3.75 days
2.┬аA and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
a)┬а24 days
b) 14 days
c) 36┬аdays
d) 30┬аdays
┬а
Explanation:
B = 1/8 тАУ 1/2 = 1/24┬а=>┬а24 days
3.┬аA can do a piece of work in 4 days.
B can do it in 5 days.
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With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?a) 15┬аdays
b)┬а25┬аdays
c) 10 days
d)┬а20 days
Explanation:
C = 1/2 - 1/4 - 1/5 = 1/20┬а=>┬а20 days
4.┬аA and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
a) 4┬а┬╜ days
b) 3┬а┬╜ days
c)┬а1 ┬╜ days
d) 2┬а┬╜ days
Explanation:
3/20 * 2 + (2 + x)/5 = 1
x = 1 ┬╜ days
5. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
a)┬а11 (1/3) days
b)┬а12 (1/3) days
c)┬а13 (1/3) days
d)┬а14 (1/3) days
Explanation:
5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 (1/3) days
6.┬аA and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
a) 6┬аdays
b) 12┬аdays
c)┬а9 days
d) 8┬аdays
Explanation:
3/12 + (3 + x)/16 = 1
x = 9 days
7.┬аA and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
a)┬а24 days
b) 12┬аdays
c) 18┬аdays
d) 30┬аdays
Explanation:
2c = ┬╝ + 1/6 тАУ 1/3 = 1/12
c = 1/24┬а=>┬а24 days
8.┬аA can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
a) 10┬аdays
b) 18┬аdays
c)┬а6 days
c) 12┬аdays
Explanation:
4/10 + 9/x = 1┬а=>┬аx = 15
1/10 + 1/15 = 1/6┬а=>┬а6 days
9.┬аA can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
a) 36┬аdays
b) 12┬аdays
c) 18┬аdays
d)┬а24 days
Explanation:
10/40 + 10/30 + 10/x = 1
x = 24 days
10.┬аA work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
a) 20
b) 30
c) 10
d) 40
Explanation:
x ------- 9
(x + 10) ---- 6
x * 9 = (x + 10)6
x = 20
┬а
