Question
Aman, Bishnu, and Chintu can each
complete 20%, 25%, and 60% of the work in 4 days, 9 days, and 27 days, respectively. If all three begin the work together but Aman stops after 4 days, how many more days will it take for Bishnu and Chintu to finish the remaining work together?Solution
ATQ
‘Aman’, ‘Bishnu’ and ‘Chintu’ will complete the whole work in 20 days (4/0.20), 36 days (9/0.25) and 45 days (27/0.60) respectively. Let total amount of work = 180 units (LCM of 20, 36 and 45) Amount of work done by ‘Aman’ in one day = 180/20 = 9 units Amount of work done by ‘Bishnu’ in one day = 180/36 = 5 units Amount of work done by ‘Chintu’ in one day = 180/45 = 4 units Amount of work done by ‘Aman’, ‘Bishnu’ and ‘Chintu’ together in 4 days = 4 × (9 + 5 + 4) = 72 units Time taken by ‘Chintu’ and ‘Bishnu’ together to complete the remaining work = (180 – 72)/(5 + 4) = 12 days
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