In our everyday life, there are many situations where we complete a particular job during a certain period of time. Depending on the schedule and requirements we need to accomplish a project earlier or later. Depending on the needs of the project the time and people are to be adjusted. Given below are multiple-choice questions and brief explanations enabling you to understand the problems related to time and work.

## Problem 1

When working alone A can accomplish certain tasks in 4 days. B can complete the same task in 12 days. If Both A and B are working together, they can do the same work in how many days:

- 1
- 2
- 3
- 4

Correct answer: 3. 3

Explanation:

Explanation:

Working along Alex can accomplish task in X days, Here X = 4 days

Working along Phil can accomplish task in Y days, Here Y = 12 days

Formula to calculate days required when Alex and Phil are working together

## Problem 2:

Alex, Jeff, and Ramsey can do certain peiece of work in 5, 10, and 15 days. When working altogether they will complete the work in how many days:

- 1.55 days
- 1.88 days
- 2.72 days
- 3.92 days

Solution:

Alex can do work in days = X = 5 days

Jeff can do work in days = Y = 10 days

Ramsey can do work in days = Z = 15 days

Working together they can do it in:

## Problem 3

Alex and Jeff when working together can complete cladding works in 8 days. Alex alone can do same cladding work in 10 days. Time taken by Jeff alone inorder to complete the same cladding is:

Solution:

Alex can do cladding work in days = X = 10 days

Together can do cladding work in days = Z = 8 days

Working along Jeff can do cladding work in:

## Problem 4

Henry, Victor, and Hugo can complete wiring of panel in 5 days. If Henry and Victor together can complete wiring of same panel in 6 days. Victor and Hougo together can do it in 10 days. Then Victor alone can complete wiring of the same panel in how many days:

- 5 days
- 10 days
- 15 days
- 20 days

Correct answer: 15 Days

Solution:

Henry and Victor together can complete wiring of same panel in 6 days

Together Henry, Victor, and Hugo can complete wiring in 5 days.

Victor and Hugo together can do the wiring of panel in 10 days.

Henry alone can complete wiring in days = (10 X 5)/(10 – 5) = 10 days

Hougo alone can complete wiring in days = (6 X 5)/(6 – 5) = 30 days

Henry and Hougo can together complete wiring in days = (30 * 10)/(30 + 10) = 7.5 days

Victor alone can complete wiring in days = (5 X 7.5)/(7.5 – 5) = 15 days

## Problem 5

Sophia and Ella when working together can complete sewing works in 10 days. Sophia alone can do same sewing work in 12 days. Time taken by Ella alone inorder to complete the same sewing is:

- 30 days
- 60 days
- 90 days
- 120 days

Correct answer: 2. 60 days

Explanation:

Solution:

Sophia can do sewing work in days = X = 12 days

Together can do sewing work in days = Z = 10 days

Working along Ella can do sewing work in:

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