Subscribe to our YouTube channel for the latest videos, updates, and tips.


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 Time and Work

Pipes and Water Tank

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.



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 Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  2. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  3. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  4. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More

  5. Worksheet on Rounding Off Number | Rounding off Number | Nearest 10

    May 15, 25 05:12 PM

    In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to

    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