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### Question 1

A can do a piece of work in 14 days. B is 40% more efficient than A. In how many days can B complete that work?

### Question 2

A, B and C can independently complete a work in 5, 15 and 16 days respectively. First C starts the work, then A joined after 7 days, and B after 6 days. In how many days was the work completed?

**A**

$8{40/79}$ days.

**B**

$9{40/79}$ days.

**C**

$10{40/79}$ days.

**D**

$11{40/79}$ 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 = 5, y = 15, z = 16, n = 7, m = 6, and simplifying, we get ${672/79}$, which is same as: $8{40/79}$.

### Question 3

If 30 men can do a task in 54 days if they work 12 hours per day, how many men are required to complete the task in 10 days if they work 9 hours?

**A**

216.

**B**

217.

**C**

215.

**D**

219.

**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} = 30, d_{1} = 54, h_{1} = 12, d_{2} = 10, and h_{2} = 9 we get m_{2} = 216.

### Question 4

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 5

If 14 men can do a task in 18 days, how many men are required to complete the task in 7 days?

This Blog Post/Article "Time and Work Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.