Question

working together, paul and dan can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken dan 9 hours. Find how long it would take Paul to do it alone​?

Answer 1

Answer:

Step-by-step explanation:

If Daniel does 1/9 of the job in one hour

let x = Paul's rate

Paul does 1/x of the job in one hour

They both do the job in 4.95hrs

(1/9)(4.95) + (1/x)(4.95) = job completion

multiply both sides by 9x

(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)

4.95x + 9*4.95 = 9x

4.95x + 44.55 = 9x

9x - 4.95x = 44.55

4.05x = 44.55

x = 44.55/4.05

x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone