A work is done by twopeople in 24 min. One of them can do this work al...
Let t = time for 2nd person to do the job
Let the completed job = 1
A shared work equation

+

= 1
reduce the fraction

+

= 1
multiply eq by 5t, results
3t + 5(24) = 5t
120 = 5t - 3t
120 = 2t
t = 60 min alone
A work is done by twopeople in 24 min. One of them can do this work al...
Given information:
- Two people can do a work in 24 minutes.
- One person can do the same work alone in 40 minutes.
Let's assume that the second person can do the same work alone in x minutes.
Calculations:
- Let's find the efficiency of each person.
- Efficiency of the first person = 1/40 (as he can do the work alone in 40 minutes)
- Efficiency of both persons together = 1/24 (as they can do the work together in 24 minutes)
- Let's assume the efficiency of the second person = 1/x (as he can do the work alone in x minutes)
- Now, we can use the formula:
- Efficiency of both persons together = Efficiency of the first person + Efficiency of the second person
- 1/24 = 1/40 + 1/x
- Let's solve for x:
- 1/x = 1/24 - 1/40
- 1/x = (40-24)/(24*40)
- 1/x = 16/(24*40)
- 1/x = 1/60
- x = 60
Therefore, the second person can do the same work alone in 60 minutes. Hence, the correct option is (a) 60 minutes.