Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A can do a piece of work in 39 days. B is 30% more efficient than A. In how many days can B complete that work?

### Question 2

A and B can together complete a job in 12 days. A can alone complete it in 14 days. How long would B alone take to finish the job?

### Question 3

A can harvest a field in 12 days. B can do the same work in 7 days. In how many days will they together harvest the field?

### Question 4

A, B and C can independently complete a work in 16, 11 and 6 days respectively. First C starts the work, then A joined after 3 days, and B after 2 days. In how many days was the work completed?

**A**

$4{47/169}$ days.

**B**

$5{47/169}$ days.

**C**

$6{47/169}$ days.

**D**

$7{47/169}$ 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 = 16, y = 11, z = 6, n = 3, m = 2, and simplifying, we get ${723/169}$, which is same as: $4{47/169}$.

### Question 5

If 102 men can do a task in 48 days if they work 17 hours per day, how many men are required to complete the task in 17 days if they work 16 hours?

**A**

306.

**B**

307.

**C**

305.

**D**

309.

**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} = 102, d_{1} = 48, h_{1} = 17, d_{2} = 17, and h_{2} = 16 we get m_{2} = 306.

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This Blog Post/Article "Time and Work Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.