Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

If 26 men can do a task in 40 days if they work 9 hours per day, how many men are required to complete the task in 13 days if they work 10 hours?

**A**

72.

**B**

73.

**C**

71.

**D**

75.

**Soln.**

**Ans: a**

If m_{1} men can do a task in d_{1} days by working h_{1} hours per day, and m_{2} in d_{2} days by working h_{2} hours per day, then we must have m_{1} × d_{1} × h_{1} = m_{2} × d_{2} × h_{2}. Putting m_{1} = 26, d_{1} = 40, h_{1} = 9, d_{2} = 13, and h_{2} = 10 we get m_{2} = 72.

### Question 2

A can harvest a field in 14 days. B can do the same work in 16 days. C can do the same work in 7 days. In how many days will they together harvest the field?

### Question 3

A can harvest a field in 16 days. B can do the same work in 14 days. C can do the same work in 5 days. In how many days will they together harvest the field?

### Question 4

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 5

A and B can complete a job in 24 and 72 days. They start together but A leaves after working for 10 days. How long would B take to finish the job counting from the day both A and B started together?

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 2017-06-24.