# Time and Work Quiz Set 001

### Question 1

A, B and C complete a work in 19, 14 and 7 days respectively. All three of them start the work together, but A leaves the work after 1 days. In how many days will the work be completed?

A

\$4{8/19}\$ days.

B

\$5{8/19}\$ days.

C

\$6{8/19}\$ days.

D

\$7{8/19}\$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A leaves after n days, the work is completed in \${yz}/{y + z}\$ × \$(1 - n/x)\$ days. Putting the various values x = 19, y = 14, z = 7, n = 1, and simplifying, we get \${84/19}\$, which is same as: \$4{8/19}\$.

### Question 2

A can do a work in 8 days. B can destroy the work in 11 days. In how many days will they together complete the work?

A

\$29{1/3}\$ days.

B

\$30{1/3}\$ days.

C

\$31{1/3}\$ days.

D

\$32{1/3}\$ days.

Soln.
Ans: a

Putting x = 8 and y = 11 in the shortcut method, we get \${xy}/{y - x}\$ = \${88/3}\$, which is same as: \$29{1/3}\$.

### Question 3

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 4

A can harvest a field in 18 days. B can do the same work in 11 days. How much did A get if the farmer pays them a total amount of Rs. 7200 for a work that they together completed in 6 days?

A

Rs. 2400.

B

Rs. 2500.

C

Rs. 2300.

D

Rs. 2700.

Soln.
Ans: a

Work done by A in 1 day = \$1/18\$. So the work in 6 days = 6 × \$1/18\$. His share is Rs. 6 × \$1/18\$ × 7200 = Rs. 2400.

### Question 5

Mr. X can finish a task in 7 days. Mr. Y can do the same work in 4 days. What is the ratio of the efficiencies of X : Y?

A

\${4/7}\$.

B

\$1{4/7}\$.

C

\${2/3}\$.

D

\${5/8}\$.

Soln.
Ans: a

The efficiency of X is \$100/7\$%, and the efficiency of Y is \$100/4\$%, so the ratio will be \$4/7\$ 