# Time and Work Quiz Set 012

### Question 1

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 2

A and B can together complete a job in 49 days. A can alone complete it in 56 days. How long would B alone take to finish the job?

A

392 days.

B

393 days.

C

391 days.

D

395 days.

Soln.
Ans: a

One day work of A + B is \$1/49\$. One day work of A is \$1/56\$. So one day work of B, say, \$1/y\$ = \$1/49\$ - \$1/56\$. Solving, we get y = 392 days.

### Question 3

If 80 men can do a task in 16 days, how many men are required to complete the task in 10 days?

A

10.

B

11.

C

9.

D

13.

Soln.
Ans: a

If m1 men can do a task in d1 days, and m2 in d2, then we must have m1 × d1 = m2 × d2. Putting m1 = 80, d1 = 16 and d2 = 10, we get m2 = 128.

### Question 4

Mr. X can finish a task in 15 days. Mr. Y can do the same work in 17 days. What is the ratio of the efficiencies of X : Y?

A

\$1{2/15}\$.

B

\$2{2/15}\$.

C

\$1{3/14}\$.

D

\$1{1/8}\$.

Soln.
Ans: a

The efficiency of X is \$100/15\$%, and the efficiency of Y is \$100/17\$%, so the ratio will be \$17/15\$

### Question 5

A can harvest a field in 6 days. B can do the same work in 12 days. How much did A get if the farmer pays them a total amount of Rs. 3000 for a work that they together completed in 3 days?

A

Rs. 1500.

B

Rs. 1600.

C

Rs. 1400.

D

Rs. 1800.

Soln.
Ans: a

Work done by A in 1 day = \$1/6\$. So the work in 3 days = 3 × \$1/6\$. His share is Rs. 3 × \$1/6\$ × 3000 = Rs. 1500.