Question
Armaan and Bhanu working together can finish a certain
task in 90 days, and Bhanu collaborating with Chintu can complete the same task in 70 days. If Armaan's efficiency is 40% less than Chintu, determine the time Armaan alone needs to complete 80% of the work.Solution
ATQ, Let the total work be 630 units. (LCM of 90 and 70) Amount of work done by Armaan and Bhanu together in one day = 630/90 = 7 units Amount of work done by Bhanu and Chintu together in one day = 630/70 = 9 units Difference between the efficiencies of Armaan and Chintu = 9 – 7 = 2 units Amount of work done by Chintu alone in one day = 2/0.40 = 5 units Amount of work done by Armaan alone in one day = 0.6 × 5 = 3 units Time taken by Armaan alone to complete 80% work = 0.8 × 630/3 = 168 days
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