# Time and Work Quiz Set 007

### Question 1

If 30 men can do a task in 54 days if they work 12 hours per day, how many men are required to complete the task in 10 days if they work 9 hours?

A

216.

B

217.

C

215.

D

219.

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 = 30, d1 = 54, h1 = 12, d2 = 10, and h2 = 9 we get m2 = 216.

### Question 2

If 56 men can do a task in 16 days, how many men are required to complete the task in 7 days?

A

128.

B

8.

C

6.

D

10.

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 = 56, d1 = 16 and d2 = 7, we get m2 = 128.

### Question 3

A can do a piece of work in 11 days. B is 10% more efficient than A. In how many days can B complete that work?

A

10 days.

B

11 days.

C

9 days.

D

12 days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as \$1/11\$. If B is 10% efficient, then one day work of B is \$1/11\$ × \$110/100\$ = \$1/10\$. Which gives 10 days as the answer.

### Question 4

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 5

A can harvest a field in 10 days. B can do the same work in 7 days. How much did A get if the farmer pays them a total amount of Rs. 7000 for a work that they together completed in 2 days?

A

Rs. 1400.

B

Rs. 1500.

C

Rs. 1300.

D

Rs. 1700.

Soln.
Ans: a

Work done by A in 1 day = \$1/10\$. So the work in 2 days = 2 × \$1/10\$. His share is Rs. 2 × \$1/10\$ × 7000 = Rs. 1400. 