Time And Work

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  • If A can do a piece of work in n days, then A’s 1 day’s work = 1/n
  • If A’s 1 day’s work = 1/n, then A can finish the work in n days.
  • If A is thrice as good a workman as B, then:

Ratio of work done by A and B = 3:1
Ratio of times taken by A and B to finish a work = 1:3

1 A can do a piece of work in 10 days and B can do the same work in 15 days. How long will they take if both work together?

A
6 days
B
8 days
C
7 days
D
4 days

2 Anil and Alok together can do a piece of work in 6 days and Anil alone can do it in 8 days. In how many days can Alok alone do it?

A
30 days
B
28 days
C
26 days
D
24 days

3 If 12 men can finish a work in 20 days, then find the number of days required to complete the same work by 15 men:

A
10
B
12
C
16
D
18

4 A can do a piece of work in 6 days. How many days will he take to complete four such works?

A
30 days
B
24 days
C
18 days
D
16 days

5 Twenty four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?

A
16
B
24
C
36
D
48

6 A stock of food is enough for 240 men for 48 days. How long will the same stock last for 160 men?

A
54 days
B
60 days
C
64 days
D
72 days

7 P and Q can finish a work in 30 days. They worked at it for 10 days and then Q left. The remaining work is done by P alone in 20 more days. How long will P take to finish the work alone?

A
30 days
B
40 days
C
50 days
D
60 days

8 A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?

A
5
B
6
C
7
D
8

9 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
$${\text{20}}\frac{1}{2}{\text{ days}}$$
B
$${\text{22}}\frac{1}{2}{\text{ days}}$$
C
$${\text{25}}\frac{1}{2}{\text{ days}}$$
D
$${\text{30}}\frac{1}{2}{\text{ days}}$$

10 A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?

A
10 days
B
11 days
C
15 days
D
20 days