Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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

### Question 2

A, B and C complete a work in 14, 8 and 6 days respectively. All three of them start the work together, but A leaves the work after 6 days, and B leaves the work after 3 days. In how many days will the work be completed?

**A**

$1{5/28}$ days.

**B**

$2{5/28}$ days.

**C**

$3{5/28}$ days.

**D**

$4{5/28}$ 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 = 14, y = 8, z = 6, n = 6, m = 3, and simplifying, we get ${33/28}$, which is same as: $1{5/28}$.

### Question 3

A can harvest a field in 12 days. B can do the same work in 18 days. C can do the same work in 5 days. In how many days will they together harvest the field?

### Question 4

If 57 men can do a task in 72 days if they work 3 hours per day, how many men are required to complete the task in 19 days if they work 9 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} = 57, d_{1} = 72, h_{1} = 3, d_{2} = 19, and h_{2} = 9 we get m_{2} = 72.

### Question 5

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?

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This Blog Post/Article "Time and Work Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.