Problems on Time and Work
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.
Recent Articles
-
Basic Multiplication Facts | Repeated Addition |Multiplication Process
Jan 15, 25 12:23 AM
Some basic multiplication facts are needed to follow for multiplying numbers. The repeated addition of the same number is expressed by multiplication in short. -
Properties of Multiplication | Multiplicative Identity | Whole Numbers
Jan 15, 25 12:08 AM
There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property… -
Multiplication Table | Learn Tables from 0 – 25 | Multiplication Table
Jan 14, 25 11:53 PM
In math multiplication table we will learn the tables from 0 – 25. These multiplication tables help the students to learn the essential multiplication facts. Multiplication tables are very important f… -
3rd Grade Math Worksheets |3rd Grade Math Sheets|3rd Grade Math Lesson
Jan 14, 25 11:02 PM
3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students. -
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:57 PM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie…
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.