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Sruthi, Swetha and Swati together can cut 216 Apples of the same size in 3 hours. Number of Apples cut by Sruthi in 9 hours is same as the number of Apples cut by Swati in 7 hours. In one hour, Swati can cut as many Apples more than Swetha as Swetha can cut more than Sruthi.Then the number of Apples cut by Swetha in one hour?

  • a)
    21

  • b)
    24

  • c)
    27

  • d)
    29

  • e)
    None

Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Sruthi, Swetha and Swati together can cut 216 Apples of the same size ...
 


Let's denote:



  • Sruthi's efficiency as 'S' apples/hour

  • Swetha's efficiency as 'W' apples/hour

  • Swati's efficiency as 'T' apples/hour



Given information:



  1. S * 9 = T * 7 => S = (7/9)T

  2. T - W = W - S => T = 2W - S



Total work done in 3 hours:



  • (S + W + T) * 3 = 216

  • S + W + T = 72



Substituting S and T in terms of W:



  • (7/9)T + W + 2W - (7/9)T = 72

  • 3W = 72

  • W = 24



Therefore, Swetha can cut 24 apples in one hour.


So, the correct answer is option B: 24.
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Community Answer
Sruthi, Swetha and Swati together can cut 216 Apples of the same size ...
Given information:
- Sruthi, Swetha and Swati together can cut 216 apples in 3 hours.
- Sruthi can cut x apples in 1 hour.
- Swati can cut (x + y) apples in 1 hour.
- Swetha can cut (x + 2y) apples in 1 hour.
- Sruthi cuts the same number of apples as Swati in 9 hours and Swati cuts the same number of apples as Swetha in 7 hours.

Approach:
Using the given information, we can form equations and solve for the values of x and y to find the number of apples cut by Swetha in 1 hour.

Equations:
1. (Sruthi + Swetha + Swati) cuts 216 apples in 3 hours
=> 3x + 3(x + y) + 3(x + 2y) = 216
=> 9x + 9y = 216
=> x + y = 24

2. Sruthi cuts the same number of apples as Swati in 9 hours
=> 9x = 9(x + y)
=> y = 0

3. Swati cuts the same number of apples as Swetha in 7 hours
=> 7(x + y) = 7(x + 2y)
=> x = 7y

Substituting the value of y from equation 2 in equation 1, we get:
x + y = 24
=> x = 24

Substituting the value of x in equation 3, we get:
x = 7y
=> y = 3.43 (approx)

Therefore, Swetha can cut (24 + 2y) = 24 + 2(3.43) = 30.86 (approx) apples in 1 hour.
Rounding off to the nearest integer, the number of apples cut by Swetha in 1 hour is 24 (Option B).
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