Learn how to solve problems on time and work in different situations when time required to complete a piece of work and when the work done in a given period of time.
Case I: If 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.
Case II: If 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 learn how to use the concept of time and work for solving various problems.
Word problems on time and work:
1. Adam is thrice as good a workman as Brain and together they finish the piece of work in 15 days. In how many days will Adam alone finish the work?
Solution:
Adam’s 1 day’s work: Brain’s 1 day’s work = 3 : 1
(Adam + Brain)’s 1 day’s work = 1/15
Now, divided 1/15 in the ratio 3 : 1
Therefore, Adam’s 1 day’s work = 1/15 × 3/4 = 1/20
Therefore, Adam alone can finish the work in 20 days.
2. Archie, Benjamin, Christopher can finish a piece of work in 10 days, 12 days and 15 days respectively. If all the three work at it together, they are paid $ 600 for the whole work. How should the money be divided among them?
Solution:
Archie’s 1 day’s work = 1/10
Benjamin’s 1 day’s work = 1/12
Christopher’s 1 day’s work = 1/15
Therefore, ratio of shares of Archie, Benjamin, Christopher = Ratio of their 1 day’s work.
= 1/10 : 1/12 : 1/15
= 6 : 5 : 4
Sum of ratio terms = 6 + 5 + 4 = 15
Therefore, Archie’s share = $ 6/15 × 600 = 6 × 40 = $ 240
Benjamin’s share = $ 5/15 × 600 = 5 × 40 = $ 200
Christopher’s share = $ 4/15 × 600 = 4 × 40 = $ 160
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 and 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.
Jun 14, 24 11:00 AM
Jun 14, 24 10:41 AM
Jun 14, 24 09:45 AM
Jun 13, 24 04:32 PM
Jun 13, 24 04:17 PM
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.