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### Question 1

Mr. P is thrice as efficient as Mr. Q and can finish a piece of work by taking 24 days less. In how many days does Mr. P finish that work?

### Question 2

A, B and C can independently complete a work in 18, 11 and 13 days respectively. First C starts the work, then A joined after 4 days, and B after 1 days. In how many days was the work completed?

**A**

$5{101/115}$ days.

**B**

$6{101/115}$ days.

**C**

$7{101/115}$ days.

**D**

$8{101/115}$ 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, and B joins after m days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x + m/y)$ days. Putting the various values x = 18, y = 11, z = 13, n = 4, m = 1, and simplifying, we get ${676/115}$, which is same as: $5{101/115}$.

### Question 3

A can do a piece of work in 18 days. B is 20% more efficient than A. In how many days can B complete that work?

### Question 4

A, B and C complete a work in 9, 16 and 19 days respectively. All three of them start the work together, but A leaves the work after 1 days, and B leaves the work after 7 days. In how many days will the work be completed?

**A**

$8{83/144}$ days.

**B**

$9{83/144}$ days.

**C**

$10{83/144}$ days.

**D**

$11{83/144}$ 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 = 9, y = 16, z = 19, n = 1, m = 7, and simplifying, we get ${1235/144}$, which is same as: $8{83/144}$.

### Question 5

A, B and C complete a work in 19, 14 and 7 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**

$4{8/19}$ days.

**B**

$5{8/19}$ days.

**C**

$6{8/19}$ days.

**D**

$7{8/19}$ 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 = 19, y = 14, z = 7, n = 1, and simplifying, we get ${84/19}$, which is same as: $4{8/19}$.

### More Chapters | See All...

Classification Test | Time and Work | Data Sufficiency | Inequalities | Probability | Problems on Numbers | Analogies | Surds and Indices | Basic Simplification | Averages | More...

This Blog Post/Article "Time and Work Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.