Question
'Ajeet' has an efficiency that is 40% lower than
'Chirag's, where as 'Bittu' is 20% more efficient than 'Chirag'. The time difference between 'Bittu' and 'Chirag' working together and 'Ajeet' and 'Bittu' working together is 8 days. Determine the number of days it takes for 'Ajeet' and 'Chirag' to complete the target together.Solution
ATQ, Let the total target be 'm' units. Let the efficiency of 'Chirag' be '5a' units/day So, efficiency of 'Ajeet' = 0.6 × 5a = 3a units/day And, efficiency of 'Bittu' = 1.2 × 5a = 6a units/day ATQ, {m/(3a+6a)} - {m/(6a+5a)} = 8 (m/9a) - (m/11a) = 8 11m - 9m = 8 × 99a m = (8 × 99a)/2 = 396a units Combined efficiency of 'Ajeet' and 'Chirag' = 5a + 3a = 8a units/day So, required time = (396a/8a) = 49.5days
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