Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A can finish a work in 6 days. B can do the same work in 15 days. They work together for 4 days. The fraction of work that is left is?

### Question 2

A, B and C complete a work in 9, 3 and 19 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**

$2{10/33}$ days.

**B**

$3{10/33}$ days.

**C**

$4{10/33}$ days.

**D**

$5{10/33}$ 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 = 9, y = 3, z = 19, n = 1, and simplifying, we get ${76/33}$, which is same as: $2{10/33}$.

### Question 3

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?

### Question 4

A can do a piece of work in 11 days. B is 10% more efficient than A. In how many days can B complete that work?

### Question 5

A can do a piece of work in 11 days. B is 10% more efficient than A. In how many days will they complete the work if they work together?

**A**

$5{5/21}$ days.

**B**

$5{2/7}$ days.

**C**

$5{1/3}$ days.

**D**

$5{8/21}$ days.

**Soln.**

**Ans: a**

Let us first calculate the one day work of B. One day work of A is given as $1/11$. If B is 10% efficient, then one day work of B is $1/11$ × $110/100$ = $1/10$. Putting x = 11 and y = 10 in the shortcut method, we get ${xy}/{x + y}$ = ${110/21}$, which is same as: $5{5/21}$.

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This Blog Post/Article "Time and Work Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.