Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A can harvest a field in 7 days. B can do the same work in 10 days. In how many days will they together harvest the field?

### Question 2

A can finish a work in 12 days. B can do the same work in 13 days. They work together for 4 days. The fraction of work that is left is?

### Question 3

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?

### Question 4

Mr. X can finish a task in 13 days. Mr. Y can do the same work in 8 days. What is the ratio of the efficiencies of X : Y?

### Question 5

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: $8{40/79}$.

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This Blog Post/Article "Time and Work Quiz Set 009" 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