Question
‘A’ takes 6 days less than ‘B’ to complete a work. ‘B’ can complete 1/5th of the work in 6 days. Both of them started the work together and worked for 8 days. What fraction of work is left?
Solution
Time taken by ‘B’ to complete the work = 6 × 5 = 30 days
Therefore, time taken by ‘A’ to complete the work = 30 – 6 = 24 days
Let the total work = 120 units
Efficiency of ‘A’ = 120/24 = 5 units/day
Efficiency of ‘B’ = 120/30 = 4 units/day
Amount of work completed by them in 8 days = 8 × (5 + 4) = 72 units
Therefore, fraction of work left = 1 – (72/120) = 2/5
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