Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

6 men and 4 women finish a job in 32 days. In how many days will 8 women and 12 men finish that job?

### Question 2

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: $5{5/6}$.

### Question 3

A and B can together complete a job in 21 days. A can alone complete it in 28 days. How long would B alone take to finish the job?

### Question 4

A, B and C can independently complete a work in 18, 16 and 6 days respectively. B and C start the work together, but A joins them after 2 days. In how many days will the work be completed?

**A**

$3{37/41}$ days.

**B**

$4{37/41}$ days.

**C**

$5{37/41}$ days.

**D**

$6{37/41}$ 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 joins after n days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x)$ days. Putting the various values x = 18, y = 16, z = 6, n = 2, and simplifying, we get ${160/41}$, which is same as: $3{37/41}$.

### Question 5

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 10 days less. In how many days does Mr. P finish that work?

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This Blog Post/Article "Time and Work Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-03