# Time and Work Quiz Set 008

### Question 1

If 70 men can do a task in 17 days, how many men are required to complete the task in 14 days?

A

14.

B

15.

C

13.

D

17.

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 = 70, d1 = 17 and d2 = 14, we get m2 = 85.

### Question 2

A can harvest a field in 5 days. B can do the same work in 6 days. C can do the same work in 18 days. How much did A get if the farmer pays them a total amount of Rs. 2500 for a work that they together completed in 4 days?

A

Rs. 2000.

B

Rs. 2100.

C

Rs. 1900.

D

Rs. 2300.

Soln.
Ans: a

Work done by A in 1 day = \$1/5\$. So the work in 4 days = 4 × \$1/5\$. His share is Rs. 4 × \$1/5\$ × 2500 = Rs. 2000.

### Question 3

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

A

4.

B

3.

C

5.

D

6.

Soln.
Ans: a

Since the work force is being doubled proportionately, the time is halved = 4 days.

### Question 4

A can harvest a field in 7 days. B can do the same work in 9 days. How much did A get if the farmer pays them a total amount of Rs. 4900 for a work that they together completed in 3 days?

A

Rs. 2100.

B

Rs. 2200.

C

Rs. 2000.

D

Rs. 2400.

Soln.
Ans: a

Work done by A in 1 day = \$1/7\$. So the work in 3 days = 3 × \$1/7\$. His share is Rs. 3 × \$1/7\$ × 4900 = Rs. 2100.

### Question 5

A can do a piece of work in 14 days. B is 40% more efficient than A. In how many days will they complete the work if they work together?

A

\$5{5/6}\$ days.

B

6 days.

C

\$6{1/6}\$ days.

D

\$6{1/3}\$ days.

Soln.
Ans: a

Let us first calculate the one day work of B. One day work of A is given as \$1/14\$. If B is 40% efficient, then one day work of B is \$1/14\$ × \$140/100\$ = \$1/10\$. Putting x = 14 and y = 10 in the shortcut method, we get \${xy}/{x + y}\$ = \${35/6}\$, which is same as: \$5{5/6}\$.