Subscribe to our YouTube channel for the latest videos, updates, and tips.
Problems on Work Done in a Given Period of Time
Learn how to solve problems on work done in a given period of time when a person A completes 1/n th part of work in one day, then A will take n days to complete the work.
Now we will apply these in working out various word problems to understand the concept to find work done in a given period of time.
Solved problems on work done in a given period of time:
1. Aden and Brad can do a piece of work in 18 days. Brad can Cody can do it in 24 days and Cody and Aden can do it in 36 days. If Aden, Brad, Cody work together, in how many days will they finish the work?
Solution:
(Aden + Brad)’s 1 day’s work = 1/18
(Brad + Cody)’s 1 day’s work = 1/24
(Cody + Aden)’s 1 day’s work = 1/36
Therefore, 2 (Aden + Brad + Cody)’s 1
day’s work = 1/18 + 1/24 + 1/36
= (4 + 3 + 2)/72
= 9/72
= 1/8
(Aden + Brad + Cody)’s 1 day’s work = 1/2 × 8 = 1/16
Therefore, Aden, Brad, Cody together will complete this work in 16 days.
2. Jack and Max can do a piece of work in 10 days. Max and Troy can do the same work in 12 days and Troy and Jack can do it in 15 days. Find the number of days taken by each to finish it working alone.
Solution:
(Jack + Max)’s 1 day’s work = 1/10
(Max + Troy)’s 1 day’s work = 1/12
(Troy + Jack)’s 1 day’s work = 1/15
Therefore, 2(Jack + Max + Troy)’s 1 day’s work = 1/10 + 1/12 + 1/15
= (6 + 5 + 4)/60
= 15/60
= 1/4
Therefore, (Jack + Max + Troy)’s 1 day’s work = 1/2 × 1/4
= 1/8
Now Jack’s 1 day’s work = (Jack + Max + Troy)’s 1 day’s work – (Max + Troy)’s 1 day’s work.
= 1/8 – 1/12
= (3 – 2)/24
= 1/24
Therefore, Jack alone can complete the work in 25 days.
Now Max’s 1 day’s work = (Jack + Max + Troy)’s 1 day’s work – (Jack + Troy)’s 1 day’s work
= 1/8 – 1/15
= (15 – 8)/120
= 7/120
Therefore, Max alone can complete the work in 120/7 days. = 17.1 days.
Now Troy’s 1 day’s work = (Jack + Max + Troy)’s 1 day’s work – (Jack + Max)’s 1 day’s work
= 1/8 – 1/10
= (5 – 4)/40
= 1/40
Therefore, Troy alone can complete the work in 40 days.
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 Pipes and Water Tank
7th Grade Math Problems
From Problems on Work Done in a Given Period of 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.
Recent Articles
-
Terms Related to Simple Interest | Simple Interest Formula | Principal
Jun 18, 25 02:57 PM
In terms related to simple interest we will learn all the terms related to simple interest. The terms related to simple interest are Interest, Principal, Amount, Simple Interest, Time or period of tim… -
Introduction to Simple Interest | Definition | Formula | Examples
Jun 18, 25 01:50 AM
In simple interest we will learn and identify about the terms like Principal, Time, Rate, Amount, etc. PRINCIPAL (P): The money you deposit or put in the bank is called the PRINCIPAL. -
5th Grade Profit and Loss Percentage Worksheet | Profit and Loss | Ans
Jun 18, 25 01:33 AM
In 5th grade profit and loss percentage worksheet you will get different types of problems on finding the profit or loss percentage when cost price and selling price are given, finding the selling pri… -
Worksheet on Profit and Loss | Word Problem on Profit and Loss | Math
Jun 18, 25 01:29 AM
In worksheet on profit and loss, we can see below there are some different types of questions which we can practice in our homework. -
Calculating Profit Percent and Loss Percent | Profit and Loss Formulas
Jun 15, 25 04:06 PM
In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil
Worksheet on Work Done in a Given Period of Time
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.