Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A, B and C can independently complete a work in 18, 16 and 6 days respectively. B and C start the work together, but A joins them after 2 days. In how many days will the work be completed?

**A**

$3{37/41}$ days.

**B**

$4{37/41}$ days.

**C**

$5{37/41}$ days.

**D**

$6{37/41}$ 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 = 18, y = 16, z = 6, n = 2, and simplifying, we get ${160/41}$, which is same as: $3{37/41}$.

### Question 2

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 3

A can do a work in 2 days. B can destroy the work in 7 days. In how many days will they together complete the work?

### Question 4

A can harvest a field in 8 days. B can do the same work in 16 days. In how many days will they together harvest the field?

### Question 5

A can do a work in 3 days. B can destroy the work in 7 days. In how many days will they together complete the work?

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This Blog Post/Article "Time and Work Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.