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. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 25, 25 12:21 PM

    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  2. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  3. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  4. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More

  5. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    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