A clerical worker takes 2 times as long to finish a job as it does an executive secretary.1/13/2021
A clerical worker takes 2 times as long to finish a job as it does an executive secretary. Working together, it takes them 5 hours to finish the job. How long would it take the clerical worker, working alone, to finish the job?
1/5 = rate together {job/hour}
1/x = executive rate {job/hour} 1/(2x) = clerical rate {job/hour} â1/x + 1/(2x) = 1/5 {executive rate + clerical rate = together rate} 10 + 5 = 2x {multiplied entire equation by 10x to eliminate fractions} 15 = 2x {combined like terms} x = 7.5 {divided each side by 2} 2x = 15 {substituted 7.5, in for x, into 2x} It would take the clerical worker 15 hours, working alone. Ask the House â
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