Amrit is thrice as good a workman as Bhagat. Therefore Amrit is able to finish a piece of work in 50 days less than Bhagat. The time (in days) in which they can finish it working together is:
Show answer & explanation
Correct answer: C
Explanation
The Correct answer is Option 3 i.e. .
Amrit = 3 × Bhagat
Amrit/Bhagat = 3/1
Amrit : Bhagat = 3 : 1
Thus the ratio of the efficiency of Amrit and Bhagat is 3 : 1
So,
The ratio of the time of Amrit and Bhagat is 1 : 3
Therefore Amrit can finish a piece of work in 50 days less than Bhagat
⇒ 3x - 1x = 50
⇒ 2x = 50
⇒ x = 25 days
Now, Amrit can complete the work = in 1/25 days
So, Amrit one's day work = 1/25
Bhagat can complete the work in 75 days
So, Bhagat one's day work = 1/75
Amrit and Bhagat can complete the work in
⇒ 1/x = 1/25 + 1/75
⇒ 1/x = (3 + 1)/75
⇒ 1/x = 4/75
⇒ x = 75/4 = 18.75 or