Question : Virat can complete a task in 30 days and Daniel is 60% more efficient than Virat in completing the same task. Find the time total taken by Daniel to complete the task.
Option 1: $16 \frac{3}{5}$ days
Option 2: $18 \frac{3}{4}$ days
Option 3: $19 \frac{5}{3}$ days
Option 4: $17 \frac{5}{3}$ days
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Correct Answer: $18 \frac{3}{4}$ days
Solution :
Given: Virat can do a task in 30 days.
Daniel's efficiency = 160% of Virat
Work = Efficiency × Time
Let Virat's efficiency be 100 units.
Daniel's efficiency = 160 units
Total work = 100 × 30 = 3000 units
Total work done by Daniel = $\frac{3000}{160}$ = $\frac{75}{4}$ = 18$\frac{3}{4}$
Hence, the correct answer is 18$\frac{3}{4}$ days.
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