A can complete a work in 'm' days and B can complete it in ‘n' days. How many days will it take to complete the work if both A and B work together ?
Let the total work be $$mn$$ units
=> Rate at which A completes the work = $$\frac{mn}{m} = n$$ units/day
=> Rate at which B completes the work = $$\frac{mn}{n} = m$$ units/day
=> Rate at which both A & B work together = $$(m+n)$$ units/day
=> No. of days required by both of them to complete the work = $$\frac{mn}{m+n}$$ days
Create a FREE account and get:
Day-wise Structured & Planned Preparation Guide
By proceeding you agree to create your account
Free CAT Schedule PDF will be sent to your email address soon !!!
