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A work is done by two people in 24 min. One of them can do this work alone in 40 min. How much time is required to do the same work for the second person.

  • a)
    60 min

  • b)
    30 min

  • c)
    50 min

  • d)
    40 min

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
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


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Community Answer
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.
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