# Time and Work Quiz Set 004

### Question 1

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 24 days less. In how many days does Mr. P finish that work?

A

12.

B

11.

C

13.

D

14.

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 = 24. Solving, x = 12.

### Question 2

Mr. X can finish a task in 9 days. Mr. Y can do the same work in 5 days. What is the ratio of the efficiencies of X : Y?

A

\${5/9}\$.

B

\$1{5/9}\$.

C

\${5/8}\$.

D

\${3/5}\$.

Soln.
Ans: a

The efficiency of X is \$100/9\$%, and the efficiency of Y is \$100/5\$%, so the ratio will be \$5/9\$

### Question 3

A can do a piece of work in 18 days. B is 20% more efficient than A. In how many days can B complete that work?

A

15 days.

B

16 days.

C

14 days.

D

17 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as \$1/18\$. If B is 20% efficient, then one day work of B is \$1/18\$ × \$120/100\$ = \$1/15\$. Which gives 15 days as the answer.

### Question 4

A can harvest a field in 19 days. B can do the same work in 18 days. How much did A get if the farmer pays them a total amount of Rs. 15200 for a work that they together completed in 6 days?

A

Rs. 4800.

B

Rs. 4900.

C

Rs. 4700.

D

Rs. 5100.

Soln.
Ans: a

Work done by A in 1 day = \$1/19\$. So the work in 6 days = 6 × \$1/19\$. His share is Rs. 6 × \$1/19\$ × 15200 = Rs. 4800.

### Question 5

A can harvest a field in 15 days. B can do the same work in 18 days. C can do the same work in 16 days. How much did A get if the farmer pays them a total amount of Rs. 6000 for a work that they together completed in 2 days?

A

Rs. 800.

B

Rs. 900.

C

Rs. 700.

D

Rs. 1100.

Soln.
Ans: a

Work done by A in 1 day = \$1/15\$. So the work in 2 days = 2 × \$1/15\$. His share is Rs. 2 × \$1/15\$ × 6000 = Rs. 800. 