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### Question 1

A and B can together complete a job in 10 days. A can alone complete it in 15 days. How long would B alone take to finish the job?

### Question 2

If 45 men can do a task in 5 days, how many men are required to complete the task in 9 days?

### Question 3

A and B can together complete a job in 16 days. A can alone complete it in 24 days. How long would B alone take to finish the job?

### Question 4

A, B and C complete a work in 9, 3 and 19 days respectively. All three of them start the work together, but A leaves the work after 1 days. In how many days will the work be completed?

**A**

$2{10/33}$ days.

**B**

$3{10/33}$ days.

**C**

$4{10/33}$ days.

**D**

$5{10/33}$ 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, the work is completed in ${yz}/{y + z}$ × $(1 - n/x)$ days. Putting the various values x = 9, y = 3, z = 19, n = 1, and simplifying, we get ${76/33}$, which is same as: $2{10/33}$.

### Question 5

A, B and C can independently complete a work in 16, 3 and 13 days respectively. First C starts the work, then A joined after 1 days, and B after 2 days. In how many days was the work completed?

**A**

$3{194/295}$ days.

**B**

$4{194/295}$ days.

**C**

$5{194/295}$ days.

**D**

$6{194/295}$ 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 = 3, z = 13, n = 1, m = 2, and simplifying, we get ${1079/295}$, which is same as: $3{194/295}$.

This Blog Post/Article "Time and Work Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-03