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Ram is twice efficient than Shyam. Shyam and Sarita can do a piece of work in 20 days together while Sarita can finish the same work in 30 days alone. Find, in what time Ram will finish the work alone ?
- a)20
- b)30
- c)25
- d)40
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Ram is twice efficient than Shyam. Shyam and Sarita can do a piece of ...
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Ram is twice efficient than Shyam. Shyam and Sarita can do a piece of ...
Given, Ram is twice as efficient as Shyam. Let the efficiency of Shyam be x, then the efficiency of Ram will be 2x.
Let the total work be 1 unit, then the work done by Shyam in 1 day = x/20 and the work done by Sarita in 1 day = 1/30.
Together, Shyam and Sarita can complete the work in 20 days, so their combined efficiency will be (1/20)th of the work done in a day. Therefore, we can write:
x/20 + 1/30 = 1/20
Solving this equation, we get x = 1/60.
Now, we know the efficiency of Shyam and Ram, so we can set up an equation to find the time taken by Ram to complete the work alone.
Let the time taken by Ram to complete the work alone be t. Then, we can write:
2x*t + 1/30*t = 1
Substituting x = 1/60, we get:
(2/60)*t + (1/30)*t = 1
Simplifying this equation, we get:
t = 30 days
Therefore, Ram will take 30 days to complete the work alone. Hence, option B is the correct answer.
Let the total work be 1 unit, then the work done by Shyam in 1 day = x/20 and the work done by Sarita in 1 day = 1/30.
Together, Shyam and Sarita can complete the work in 20 days, so their combined efficiency will be (1/20)th of the work done in a day. Therefore, we can write:
x/20 + 1/30 = 1/20
Solving this equation, we get x = 1/60.
Now, we know the efficiency of Shyam and Ram, so we can set up an equation to find the time taken by Ram to complete the work alone.
Let the time taken by Ram to complete the work alone be t. Then, we can write:
2x*t + 1/30*t = 1
Substituting x = 1/60, we get:
(2/60)*t + (1/30)*t = 1
Simplifying this equation, we get:
t = 30 days
Therefore, Ram will take 30 days to complete the work alone. Hence, option B is the correct answer.
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Ram is twice efficient than Shyam. Shyam and Sarita can do a piece of work in 20 days together while Sarita can finish the same work in 30 days alone. Find, in what time Ram will finish the work alone ?a)20b)30c)25d)40e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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