# Time and Work Quiz Set 015

### Question 1

6 men and 4 women finish a job in 16 days. In how many days will 8 women and 12 men finish that job?

A

8.

B

7.

C

9.

D

10.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 8 days.

### Question 2

A and B can complete a job in 16 and 64 days. They start together but A leaves after working for 6 days. How long would B take to finish the job counting from the day both A and B started together?

A

40 days.

B

41 days.

C

39 days.

D

43 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 = \$6/16\$ + \$x/64\$ = 1. Solving, we get x = 40 days.

### Question 3

A can do a work in 3 days. B can destroy the work in 14 days. In how many days will they together complete the work?

A

\$3{9/11}\$ days.

B

\$4{9/11}\$ days.

C

\$5{9/11}\$ days.

D

\$6{9/11}\$ days.

Soln.
Ans: a

Putting x = 3 and y = 14 in the shortcut method, we get \${xy}/{y - x}\$ = \${42/11}\$, which is same as: \$3{9/11}\$.

### Question 4

A can harvest a field in 12 days. B can do the same work in 18 days. C can do the same work in 5 days. In how many days will they together harvest the field?

A

\$2{58/61}\$ days.

B

\$3{58/61}\$ days.

C

\$4{58/61}\$ days.

D

\$5{58/61}\$ days.

Soln.
Ans: a

Putting x = 12, y = 18 and z = 5 in the shortcut method, we get \${xyz}/{xy + zy + zx}\$ = \${180/61}\$, which is same as: \$2{58/61}\$.

### Question 5

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.