TIME AND WORK CRACK BYTES

Hey folks ,

Let us start from level easy to hard. In this post we will be discussing TWO METHODS for simple concept in TIME AND WORK. Lets proceed to METHOD 1

METHOD 1:

General description of METHOD 1 - There will be a piece of work . Say Person A will complete it in some X days ,say Person B will complete the same work in some Y days. The question will be asked to find the number of days taken to complete the same work if both A and B work together.

APPROACH 1: 

(Just follow the steps)

STEP 1: Take LCM of X and Y  -----  TOTAL WORK     -----1

STEP 2: LCM / X ----- Individual work done by A           -----2

STEP 3: LCM/Y ------- Individual work done by B           -----3

STEP 4: 1/(2+3) -------Number of days taken to complete if  A & B work together -----ANSWER

The execution of above steps seems to be time consuming , but actually it is not. It will work out faster if we apply on some questions. Here we go with some METHOD 1 questions. it will make our approach easier then.

EXAMPLES ON METHOD 1:

A can do a piece of work in 10 days. B can do the same work in 15 days. In how many days will the work be completed , if A & B work together ?

Just follow the steps mentioned to arrive at correct answer

STEP 1: Take LCM of 10 and 15  -----  TOTAL WORK     -----30

STEP 2: 30/ 10 ----- Individual work done by A                  -----3

STEP 3: 30/15 ------- Individual work done by B                 -----2

STEP 4: 30/(3+2) -------6 days taken to complete if  A & B work together -----ANSWER 6 days

A can do a piece of work in 12 days. B can do the same work in 15 days. In how many days will the work be completed , if A & B work together ?

Just follow the steps mentioned to arrive at correct answer

STEP 1: Take LCM of 12 and 15  -----  TOTAL WORK     -----60

STEP 2: 60/ 12 ----- Individual work done by A                  -----5

STEP 3: 60/15 ------- Individual work done by B                 -----4

STEP 4: 60/(5+4) -------20/3 days taken to complete if  A & B work together -----ANSWER 20/3 or 6 2/3 days

From the above steps and calculations we could arrive to the Formula for calculating the days taken to complete the work as Total work / per day working capacity of all workers

Calculator

Practice more questions on METHOD 1 for the fluent calculation. Hope it might be useful. I will be posting many q&a , various methods following this post . Stay tuned to BLOG

THANKS FOR READING

P.s:Comment if there is any wrong approach or mistakes  in the contents which are dealt above. 

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