CAT 2019 Time and Work Question (Medium)

Question

Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10 of the job, then in how many days was the job done?

Accepted Answer

Step 1 Let total work 120 units LCM of 20 and 40 Anil s rate 120 20 6 units day Sunil s rate 120 40 3 units day Step 2 Anil works alone for 3 days Work done 3 6 18 units Remaining work 120 - 18 102 units Step 3 Let Bimal join after more days after Anil and Sunil work together for days Anil Sunil 6 3

CAT 2019

Quantitative

Time and Work

Medium

Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?

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