Aditya is twice as good a workman as Bipin and therefore can finish a job in 30 days less than Bipin. How many days are required to complete the job if working together?
Show answer & explanation
Correct answer: B
Explanation
Given:
Aditya is twice as efficient as Bipin.
Aditya completes the work in 30 days less than Bipin.
Let Bipin's time = x days.
Aditya's time = x − 30 days.
Efficiency ratio = 2 : 1.
Time ratio = 1 : 2.
(x − 30) : x = 1 : 2.
2(x − 30) = x.
2x − 60 = x.
x = 60.
Bipin's time = 60 days.
Aditya's time = 30 days.
Together, 1 day's work.
= 1/30 + 1/60.
= 3/60.
= 1/20.
Together, they will complete the work in 20 days.