# Time and Work Quiz Set 018

### Question 1

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 2

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 3

A can finish a work in 5 days. B can do the same work in 7 days. They work together for 2 days. The fraction of work that is left is?

A

\${11/35}\$.

B

\$1{11/35}\$.

C

\${11/34}\$.

D

\${1/3}\$.

Soln.
Ans: a

They together finish \$1/5 + 1/7\$ work in a day. In 2 days they finish 2 × \$(1/5 + 1/7)\$ work, which is \$24/35\$. So the un-finished work is 1 - \$24/35\$ = \${11/35}\$.

### Question 4

A and B can together complete a job in 10 days. A can alone complete it in 15 days. How long would B alone take to finish the job?

A

30 days.

B

31 days.

C

29 days.

D

33 days.

Soln.
Ans: a

One day work of A + B is \$1/10\$. One day work of A is \$1/15\$. So one day work of B, say, \$1/y\$ = \$1/10\$ - \$1/15\$. Solving, we get y = 30 days.

### Question 5

A can finish a work in 12 days. B can do the same work in 13 days. They work together for 4 days. The fraction of work that is left is?

A

\${14/39}\$.

B

\$1{14/39}\$.

C

\${7/19}\$.

D

\${3/8}\$.

Soln.
Ans: a

They together finish \$1/12 + 1/13\$ work in a day. In 4 days they finish 4 × \$(1/12 + 1/13)\$ work, which is \$100/156\$. So the un-finished work is 1 - \$100/156\$ = \${14/39}\$.