Question

ramesh is three times as good workman as balaji and is therefore able to finish a piece of work in 40 days less than balaji. find the time in which they can do it working together

Answer 1

120 is the answer that they Both can work

Answer 2

Answer:

Time taken together is 15 days

Step-by-step explanation:

Given : Ramesh is three times as good workman as Balaji and is therefore able to finish a piece of work in 40 days less than Balaji.

To find : The time in which they can do it working together.

Solution :

Let number of days taken by Balaji is x days

So, The number of days taken by Ramesh is 3x days

According to the question,

$3x - x = 40$ days

$2x = 40$

$x= 20$

Hence, x=20 days

So, number of days taken by Balaji = 20 days and number of days taken by Ramesh = 3(20)=60 days

Assume total units of work = LCM (20 , 60) units = 60 units

So, work done by Balaji in one day = (60/20) = 3 units per day

Work done by Ramesh in one day = (60/60) = 1 unit per day.

Hence total units done by both Balaji and Ramesh together in one day = 4 units per day

So, total number of days taken by both of them is

Total work / Number of units done in one day =$\frac{60}{4}=15$ days.