# Time and Work Quiz Set 020

### Question 1

Mr. X can finish a task in 13 days. Mr. Y can do the same work in 8 days. What is the ratio of the efficiencies of X : Y?

A

\${8/13}\$.

B

\$1{8/13}\$.

C

\${2/3}\$.

D

\${9/14}\$.

Soln.
Ans: a

The efficiency of X is \$100/13\$%, and the efficiency of Y is \$100/8\$%, so the ratio will be \$8/13\$

### Question 2

6 men and 4 women finish a job in 10 days. In how many days will 8 women and 12 men finish that job?

A

5.

B

4.

C

6.

D

7.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 5 days.

### Question 3

A can harvest a field in 15 days. B can do the same work in 8 days. C can do the same work in 17 days. How much did A get if the farmer pays them a total amount of Rs. 12000 for a work that they together completed in 5 days?

A

Rs. 4000.

B

Rs. 4100.

C

Rs. 3900.

D

Rs. 4300.

Soln.
Ans: a

Work done by A in 1 day = \$1/15\$. So the work in 5 days = 5 × \$1/15\$. His share is Rs. 5 × \$1/15\$ × 12000 = Rs. 4000.

### Question 4

A can harvest a field in 5 days. B can do the same work in 14 days. C can do the same work in 3 days. In how many days will they together harvest the field?

A

\$1{83/127}\$ days.

B

\$2{83/127}\$ days.

C

\$3{83/127}\$ days.

D

\$4{83/127}\$ days.

Soln.
Ans: a

Putting x = 5, y = 14 and z = 3 in the shortcut method, we get \${xyz}/{xy + zy + zx}\$ = \${210/127}\$, which is same as: \$1{83/127}\$.

### 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.