Let “z” stand for the rate of delivery for Zsuzanna

Let “s” stand for the rate of delivery for Stan

Set up Two equations

z = 3s

z + s = 1

Substitute

3s + s = 1 —-> s = 1/4 delivery

z = 3(1/4) —-> z = 3/4 delivery

Ratio

It will take Stan 1 hour to complete 1/4 of the delivery.

(1 hour) / (1/4 delivery) = (x hours) / (1 delivery)

1 / (1 / 4) = x —-> x = 4 hours

It will take Zsuzanna 1 hour to complete 3/4 of the delivery

(1 hour) / (3/4 delivery) = (x hours) / (1 delivery)

1 / (3 / 4) = x —-> x = 4/3 hours

(approximately 1.33 hours)

Final Answer

Zsuzanna = 4/3 hours (approximately 1.33 hours)

Stan = 4 hours

b. Solve the equation

3u^2 = 8u – 5

= 3u^2 – 8u + 5

= (3u – 5)(u – 1)

u = 1, 5/3