Question

Working together, paul and daniel can pick forty bushels of apples in 4.95 hours.had he done it alone it would have taken daniel 9 hours. Find how long it would take paul to do it alone?

Answer 1

The working together formula for Paul, P, and Daniel, D is:

\[\frac{PD}{P + D} = t\]

Since t = 4.95 and d = 9, then:

\[\frac{P(9)}{P + 9} = 4.95\]

Solve for P:

9P = 4.95(P + 9)

9P = 4.95P + 44.55

9P - 4.95P = 44.55
(9 - 4.95)P = 44.55
4.05P = 44.55
P = 44.55/4.05
P = 11

Answer 2

Thus, working alone, Paul can do it in 11 hour

Answer 3

@LeaGamage