Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A can do a work in 4 days. B can destroy the work in 15 days. In how many days will they together complete the work?

### Question 2

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 3

A and B can complete a job in 38 and 152 days. They start together but A leaves after working for 30 days. How long would B take to finish the job counting from the day both A and B started together?

### Question 4

A can harvest a field in 11 days. B can do the same work in 14 days. In how many days will they together harvest the field?

### Question 5

A, B and C can independently complete a work in 19, 9 and 18 days respectively. First C starts the work, then A joined after 5 days, and B after 9 days. In how many days was the work completed?

**A**

$10{8/25}$ days.

**B**

$11{8/25}$ days.

**C**

$12{8/25}$ days.

**D**

$13{8/25}$ 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 = 19, y = 9, z = 18, n = 5, m = 9, and simplifying, we get ${258/25}$, which is same as: $10{8/25}$.

This Blog Post/Article "Time and Work Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-14.