Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A can finish a work in 15 days. B can do the same work in 11 days. They work together for 4 days. The fraction of work that is left is?

### Question 2

A, B and C can independently complete a work in 17, 18 and 19 days respectively. B and C start the work together, but A joins them after 3 days. In how many days will the work be completed?

**A**

$7{43/971}$ days.

**B**

$8{43/971}$ days.

**C**

$9{43/971}$ days.

**D**

$10{43/971}$ 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 = 17, y = 18, z = 19, n = 3, and simplifying, we get ${6840/971}$, which is same as: $7{43/971}$.

### Question 3

A can do a piece of work in 46 days. B is 15% more efficient than A. In how many days can B complete that work?

### Question 4

A can do a piece of work in 46 days. B is 15% more efficient than A. In how many days will they complete the work if they work together?

**A**

$13{31/33}$ days.

**B**

$13{32/33}$ days.

**C**

14 days.

**D**

$14{1/33}$ days.

**Soln.**

**Ans: a**

Let us first calculate the one day work of B. One day work of A is given as $1/46$. If B is 15% efficient, then one day work of B is $1/46$ × $115/100$ = $1/20$. Putting x = 46 and y = 20 in the shortcut method, we get ${xy}/{x + y}$ = ${460/33}$, which is same as: $13{31/33}$.

### Question 5

A can harvest a field in 11 days. B can do the same work in 14 days. In how many days will they together harvest the field?

### More Chapters | See All...

Verification of truth | Problems on Ages | Deductive Reasoning | Analogies | Paper Cutting | Paper Folding | Venn Diagrams | Coding Decoding | Square and Cube Roots | Statements and Assumptions | More...

This Blog Post/Article "Time and Work Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.