Question
‘X’ can complete a job in 30 days. ‘Y’ is 50% more efficient than ‘X’. How long will they take to finish 75% of the work together?
Solution
Let work = 30x units (since X takes 30 days).
Efficiency of X = 30x / 30 = 1x unit/day.
Y is 50% more efficient, so Y's efficiency = 1x + 0.5x = 1.5x units/day.
75% of work = 30x × 0.75 = 22.5x units.
Combined efficiency = 1x + 1.5x = 2.5x units/day.
Time taken = 22.5x / 2.5x = 9 days.
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