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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?1. 152. 123. 134. 14 |
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Answer» Correct Answer - Option 3 : 13 Calculation: Anil, Sunil and Bimal together finished the job Bimal has done 10% of the job ⇒ Job done by Anil and Sunil = (100% – 90%) of the job ⇒ 90% of the job Total job is the LCM of 20, 40 ⇒ 40 Efficiency of Anil = 40/20 ⇒ 2 The efficiency of Sunil = 20/20 ⇒ 1 Let the number of days Anil and Sunil done the job together be D days Anil has done the job alone for three days and then Sunil joined him and they have together done the job ⇒ 2 × 3 + D(2 + 1) = 90/100 × 40 ⇒ 3D = 36 – 6 ⇒ D = 30/3 ⇒ D = 10 Total time to complete the job = D + 3 ⇒ 13 days ∴ In 13 days the job was done. |
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