Problems on Time required to Complete a Piece a Work
Learn how to solve problems on time required to complete a piece a work when a person A completes a piece of work in n days, then work done by A in one days = 1/n th part of the work.
Now we will apply the above concept for solving some real-life problems to find the time required to complete the allotted work.
Solved problems on time required to complete a piece a work:
1. Anthony and Billy can built a wall in 6 days, Billy and Corey can do it in 9 days and Corey and Anthony in 12 days.
In how many days will they:
(i) finish together?
(ii) finish separately?
Solution:
(Anthony + Billy)’S 1 day work = 1/6
(Billy + Corey)’s 1 day work = 1/9
(Corey + Anthony) ‘s 1 day work = 1/12
[(Anthony + Billy) + (Billy + Corey) + (Corey + Anthony]‘s 1 day work = 1/6 + 1/9 + 1/12
(2 Anthony + 2 Billy + 2 Corey)‘s 1 day’s work = 12 + 8 + 6/72
2(Anthony + Billy + Corey)’s 1 day’s work = 26/72
Therefore, (Anthony + Billy + Corey)’s 1 day’s work = 26/72 × 2
Therefore, together Anthony, Billy, and Corey can complete the work in 72/13 = 5.5 days.
Therefore, Anthony’s 1 day’s work = (Anthony + Billy + Corey)’s 1 day’s work – (Billy + Corey)’s 1 day’s work
= 13/72 – 1/9
= (13 – 8)/ 72
= 5/72
Therefore, Anthony finishes the work in 72/5 days.
Billy’s 1 day’s work = (Anthony + Billy + Corey)’s 1 day’s work – (Corey – Anthony)’s 1 day’s work = 13/72 – 1/12
= (13 – 6)/72
= 7/72
Therefore, Billy finishes the work in 72/7 days.
Corey’s 1 day’s work = (Anthony + Billy + Corey)’s 1 day’s work – (Anthony + Billy)’s 1 day’s work = 13/72 – 1/6
= (13 – 12)/72
= 1/72
Corey can finish the work in 72 days.
2. Daniel can do piece of work in 15 days and Josh can do it in 10 days. They work together in 3 days, then Daniel goes away. In how many days will Josh finish the remaining work?
Solution:
Daniel’s 1 day’s work = 1/15
Josh’s day’s work = 1/10
(Daniel + Josh)’s 1 day’s work = 1/15 + 1/10 = 2 + 3/30 = 5/30 = 1/6
(Daniel + Josh)’s 3 day’s work = 1/6 × 3 = 1/2
Remaining work = (1 – 1/2) = (2 – 1)/2 = 1/2 which is to be done by Josh.
We know that, 1/10 work is done by Josh in 1 day.
1 work is done by Josh in 1/1/10 day = 1/1 × 10/1 = 10 days
1/2 work is done by Josh in 10 × 1/2 days = 5 days
Therefore, Josh will finish the remaining work in 5 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 Time required to Complete a Piece a Work 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
-
Worksheet on Yesterday, Today and Tomorrow | Sequence of the Week-days
Nov 25, 24 01:18 AM
Practice the worksheet on yesterday, today and tomorrow, the questions are based on the sequence of the week-days, their names and order. We know, the present day is today, the day before today -
Yesterday, Today and Tomorrow | Name of each Day of the Week
Nov 25, 24 01:09 AM
We will learn the relation between yesterday, today and tomorrow. There are seven days in a week. We know the name of each day of the week. Sunday is known as the first day of the week. -
The Story about Seasons | Spring | Summer | Autumn | Winter
Nov 25, 24 12:48 AM
Kids let’s enjoy the story about seasons. Here we will discuss about the four seasons and the duration. Some months are too hot and some are too cold. The period of hot months is called the hot -
Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr
Nov 25, 24 12:17 AM
There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t… -
Time Duration |How to Calculate the Time Duration (in Hours & Minutes)
Nov 24, 24 11:01 PM
Time duration tells us how long it takes for an activity to complete. We will learn how to calculate the time duration in minutes and in hours. Time Duration (in minutes) Ron and Clara play badminton…
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
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.