# Time and Work Quiz Set 020

### Question 1

A and B can complete a job in 36 and 36 days. They start together but A leaves after working for 24 days. How long would B take to finish the job counting from the day both A and B started together?

A

12 days.

B

13 days.

C

11 days.

D

15 days.

Soln.
Ans: a

If B takes x days. The total job is A's work in 4 days + B's work in x days = \$24/36\$ + \$x/36\$ = 1. Solving, we get x = 12 days.

### Question 2

If 45 men can do a task in 32 days if they work 17 hours per day, how many men are required to complete the task in 15 days if they work 4 hours?

A

408.

B

409.

C

407.

D

411.

Soln.
Ans: a

If m1 men can do a task in d1 days by working h1 hours per day, and m2 in d2 days by working h2 hours per day, then we must have m1 × d1 × h1 = m2 × d2 × h2. Putting m1 = 45, d1 = 32, h1 = 17, d2 = 15, and h2 = 4 we get m2 = 408.

### Question 3

6 men and 4 women finish a job in 30 days. In how many days will 8 women and 12 men finish that job?

A

15.

B

14.

C

16.

D

17.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 15 days.

### Question 4

A can harvest a field in 19 days. B can do the same work in 4 days. C can do the same work in 10 days. In how many days will they together harvest the field?

A

\$2{74/153}\$ days.

B

\$3{74/153}\$ days.

C

\$4{74/153}\$ days.

D

\$5{74/153}\$ days.

Soln.
Ans: a

Putting x = 19, y = 4 and z = 10 in the shortcut method, we get \${xyz}/{xy + zy + zx}\$ = \${380/153}\$, which is same as: \$2{74/153}\$.

### Question 5

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 22 days less. In how many days does Mr. P finish that work?

A

11.

B

10.

C

12.

D

13.

Soln.
Ans: a

Let the time taken by P be x days. Then the time taken by Q is 3x. The difference is 3x - x. So, 2x = 22. Solving, x = 11. 