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Chetan is thrice as efficient as Mamta and together they can finish a piece of work in 60 days. Mamta will take how many days to finish this work alone?
  • a)
    80
  • b)
    160
  • c)
    240
  • d)
    320
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Chetan is thrice as efficient as Mamta and together they can finish a ...
  • Chetan is thrice as efficient as Mamta.
  • Let, Mamta takes 3x days and Chetan takes x days to complete the work.
  • ∴ 1/x + 1/3x = 1/60 ⇒ x = 80.
  • ∴ Mamta will take 80 × 3 = 240 days to complete the work.
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Community Answer
Chetan is thrice as efficient as Mamta and together they can finish a ...
Given data:
Chetan's efficiency = 3 x Mamta's efficiency
Together they can finish work in 60 days

Let's assume Mamta's efficiency to be x
Then, Chetan's efficiency will be 3x

Efficiency formula: Efficiency = Work / Time

Let's assume the total work to be 1 unit

Work formula: Work = Efficiency x Time

Now, we can write the following equations based on the given data:

1. (3x + x) x 60 = 1 [Together they can finish the work in 60 days]

2. 4x x D = 1 [Mamta will take D days to finish the work alone]

Solving equation 1, we get:

240x = 1
x = 1/240

Substituting this value in equation 2, we get:

4(1/240) x D = 1
D = 240

Therefore, Mamta will take 240 days to finish the work alone. Hence, the correct answer is option C.
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Chetan is thrice as efficient as Mamta and together they can finish a piece of work in 60 days. Mamta will take how many days to finish this work alone?a)80b)160c)240d)320Correct answer is option 'C'. Can you explain this answer?
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