Calculate Work Done in a Given Time

To calculate work done in a given time in general if a person A completes a piece of work in a ‘n’ days, then A’s one day work = 1/n.

 If a man takes 10 days to complete a piece of work, then according to the unitary method work done in one day = 1/10.


Now we will apply the concept of solving some real-life problems to find the work done in a given period of time.


Solved examples to calculate work done in a given time:

1. Adam can do a piece of work in 15 days and Brandon can finish it in 10 days. They work together for 5 days and then Adam goes away. In how many days will Brandon finish the remaining work?

Solution:         

Adam can finish the work in 15 days.

Therefore, Adam’s 1 day’s work = 1/15

Brandon can finish the work in 10 days.

Therefore, Brandon’s 1 day’s work = 1/10

So, (Adam + Brandon)‘s 1 day’s work = 1/15 + 1/10 = (2 + 3)/30 = 5/30 = 1/6

Therefore, (Adam + Brandon)‘s 5 day’s work = 5 × 1/6 = 5/6

Remaining work = 1 – 5/6 = 6-5/6 = 1/6

This remaining work has to be done by Brandon.

Complete work is done by Brandon in 10 days.

Therefore, 1/6 of the work is done by Brandon in (10 × 1/6) days = 5/3 days.

Hence, the remaining work is done by Brandon in 5/3 days.


2. Alex can do 3/4 of the work in 12 days and Ben can do 1/8 th of the work in 2 days. In how many days both Alex and Ben can together do the work?

Solution:

3/4 of the work is done by Alex is 12 days.

Therefore, the whole work will be done Alex in 12 × 4/3days = 16 days.

Therefore, Alex’s day’s work = 1/16

Similarly, 1/8 of the work is done by Ben in 2 days.

Therefore, the whole work will be done Ben in 2 × 8/1 = 16 days

So, Ben’s 1 day work = 1/16

Now (Alex + Ben)’s 1 day’s work = 1/16 + 1/16 = 2/16 = 1/8

Therefore, (Alex + Ben) together will complete the work in 8 days.


More problems to calculate work done in a given time:

3. Nancy can embroider a dress in 15 hours while Sam can do the same in 10 hours. Working together how much time will they take to embroider 5 dresses?

How many dresses will be embroidered in 54 hours?

Solution:

Nancy can embroider a dress in 15 hours.

So, Nancy’s 1 hour work = 1/15

Also, Sam can embroider a dress in 10 hours.

So, Sam’s 1 hour work 1/10

Nancy’s and Sam’s 1 hour work = 1/15 + 1/10 = 2+3/30 = 5/30 = 1/6

So, they will together take 6 hours to embroider 1 dress.

So, working together, time taken to embroider 1 dress = 6 hours.

Therefore, time taken to embroider 5 dresses = (6 × 5) hours = 30 hours.

Also, number of dresses embroidered in 6 hour = 1

Number of dresses embroidered in 1 hour = 1/6

Therefore, number of dresses embroidered in 54 hours = 1/6 × 54 = 9

Calculate Time to Complete a Work

Calculate Work Done in a Given Time

Problems on Time required to Complete a Piece a Work

Problems on Work Done in a Given Period of Time

Problems on Time and Work

Pipes and Water Tank

Problems on Pipes and Water Tank




7th Grade Math Problems

From Calculate Work Done in a Given Time to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Subtracting Integers | Subtraction of Integers |Fundamental Operations

    Jun 13, 24 02:51 AM

    Subtracting integers is the second operations on integers, among the four fundamental operations on integers. Change the sign of the integer to be subtracted and then add.

    Read More

  2. Properties of Subtracting Integers | Subtraction of Integers |Examples

    Jun 13, 24 02:28 AM

    The properties of subtracting integers are explained here along with the examples. 1. The difference (subtraction) of any two integers is always an integer. Examples: (a) (+7) – (+4) = 7 - 4 = 3

    Read More

  3. Math Only Math | Learn Math Step-by-Step | Worksheet | Videos | Games

    Jun 13, 24 12:11 AM

    Presenting math-only-math to kids, students and children. Mathematical ideas have been explained in the simplest possible way. Here you will have plenty of math help and lots of fun while learning.

    Read More

  4. Addition of Integers | Adding Integers on a Number Line | Examples

    Jun 12, 24 01:11 PM

    Addition of Integers
    We will learn addition of integers using number line. We know that counting forward means addition. When we add positive integers, we move to the right on the number line. For example to add +2 and +4…

    Read More

  5. Worksheet on Adding Integers | Integers Worksheets | Answers |Addition

    Jun 11, 24 07:15 PM

    Worksheet on Adding Integers
    Practice the questions given in the worksheet on adding integers. We know that the sum of any two integers is always an integer. I. Add the following integers:

    Read More

Worksheet on Work Done in a Given Period of Time

Worksheet on Time Required to Complete a Piece of Work

Worksheet on Pipes and Water Tank