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Three workers Trump, Putin and Jinping are appointed to do a job. They together started the job but Jinping left after 3 days when 37% of the job was done. The remaining job was completed by Trump and Putin in 7 days. The ratio of efficiency of Trump and Putin is 4 : 5. Find the number of days required by the slowest worker to complete the entire job alone?
20 days
24 days
18 days
30 days
Let x, y and z are the one day’s work of Trump, Putin and Jinping respectively. According to the question, ⇒ 3 × (x + y + z) = 37% of the work ⇒ 7 × (x + y) = 63% ⇒ x + y = 9% ? The ratio of efficiency of Trump and Putin is 4 : 5, ∴ 5x = 4y and x = 4%, y = 5% work per day. It implies Trump can complete the job and in 25 days and Putin in 20 days. In 3 days (x + y + z) do 37% of the work Out of this Trump and Putin would do 27% work = (3 × 9%) of the work. Remaining work = 37% – 27% = 10% (done by Jinping in 3 days) ∴ The work of z = 10/3 = 3.33% work per day ∴ Jinping is the slowest and he would do the work in 30 days.
By: Amit Kumar ProfileResourcesReport error
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