Question
Download Solution PDFVirat can complete a work in 30 days and Daniel is 60% more efficient than Virat to complete the same work. Find the total time taken by Daniel to complete the work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Daniel is 60% more efficient than Virat.
Virat can complete a work in 30 days.
Concept
Efficiency is inversely related to time.
Work done = efficiency × time
Calculation
Let the efficiency of Virat is 100
So, the efficiency of Daniel is 160
The ratio of efficiency, Virat: Daniel = 100: 160
⇒ 5 : 8
It is inversely related to time
Ratio of time = 8 : 5
8 : 5 = 30 : x
So, 8 → 30 days
then
1 → 30/8 days
⇒ 5 = x → 150/8 days
= 75/4 = 18(3/4) days
Daniel can complete a work in 18(3/4) days.
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