# Time and Work Quiz Set 014

### Question 1

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 26 days less. In how many days does Mr. P finish that work?

A

13.

B

12.

C

14.

D

15.

Soln.
Ans: a

Let the time taken by P be x days. Then the time taken by Q is 3x. The difference is 3x - x. So, 2x = 26. Solving, x = 13.

### Question 2

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 12 days less. In how many days does Mr. P finish that work?

A

6.

B

5.

C

7.

D

8.

Soln.
Ans: a

Let the time taken by P be x days. Then the time taken by Q is 3x. The difference is 3x - x. So, 2x = 12. Solving, x = 6.

### Question 3

A can do a work in 3 days. B can destroy the work in 14 days. In how many days will they together complete the work?

A

\$3{9/11}\$ days.

B

\$4{9/11}\$ days.

C

\$5{9/11}\$ days.

D

\$6{9/11}\$ days.

Soln.
Ans: a

Putting x = 3 and y = 14 in the shortcut method, we get \${xy}/{y - x}\$ = \${42/11}\$, which is same as: \$3{9/11}\$.

### Question 4

A can do a piece of work in 14 days. B is 40% 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 \$1/14\$. If B is 40% efficient, then one day work of B is \$1/14\$ × \$140/100\$ = \$1/10\$. Which gives 10 days as the answer.

### Question 5

A, B and C complete a work in 11, 16 and 18 days respectively. All three of them start the work together, but A leaves the work after 1 days, and B leaves the work after 6 days. In how many days will the work be completed?

A

\$9{27/44}\$ days.

B

\$10{27/44}\$ days.

C

\$11{27/44}\$ days.

D

\$12{27/44}\$ 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, and B after m days, the work is completed in z × \$(1 - n/x - m/y)\$ days. Putting the various values x = 11, y = 16, z = 18, n = 1, m = 6, and simplifying, we get \${423/44}\$, which is same as: \$9{27/44}\$. 