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Ravi can complete a task in D + 12 hours, and Rohit can complete the same task in D + 24 hours. If Rohit's efficiency is 25% less than Ravi’s, then fi
Question

Ravi can complete a task in D + 12 hours, and Rohit can complete the same task in D + 24 hours. If Rohit's efficiency is 25% less than Ravi’s, then find the value of D.

A.

24

B.

12

C.

6

D.

30

E.

42

Correct option is A

Information Given:
Ravi can complete a task in D + 12 hours.
Rohit can complete the same task in D + 24 hours.
Rohit's efficiency is 25% less than Ravi’s.
Formulas Used:
Efficiency and time being inversely proportional
Efficiency = 1Time taken\frac{1}{\text{Time taken}}
Basic Explanation:
Ravi’s efficiency = 1D+12\frac{1}{D + 12}
Rohit’s efficiency = 0.75×1D+120.75 \times \frac{1}{D + 12}
ATQ,
1D+24=0.75D+12\frac{1}{D + 24} = \frac{0.75}{D + 12}
D+12 = 0.75D + 18
0.25D = 6
D = 24

Exam Hall Method:

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