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2 men and 5 boys can finish a piece of work in 4 days while 3 mens and 6 boys can finish it in 3 days . find the time taken by one man alone to finish the work and taken by one boy alone to finish the work |
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Answer» ANSWER: Total time taken by one man to complete the job = 18 DAYS Step-by-step explanation: Let one man complete the work in 1/x days and one boy completes the work in 1/y days. Now, 2 men and 5 BOYS can finish a piece of job in 4 days ⇒ 2x + 5Y = 1/4 ⇒ 8x + 20y = 1 .........(1) Also, 3 men and 6 boys finish it in 3 days ⇒ 3x + 6y = 1/3 ⇒ 9x + 18y = 1 ........(2) Now, solving the equations (1) and (2) We get 1/x = 18 and 1/y = 36 So, Total time taken by one man to complete the job = 18 days |
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