Problema Solution

When a father, in a car, and his son, on a bicycle, work together to distribute the morning newspaper, it takes them 45 minutes to complete the route. Working alone, it takes the son 30 minutes longer than the father. How long does it take the son to cover the route on his bicycle? (Give your answer correct to the nearest minute.)

Answer provided by our tutors

1/50=(1/x)+(1/(x+15))

1/50=(2x+15)/(x^2+15x)

(x^2+15x)/50=2x+15

x^2+15x=100x+750

x^2-85x-750=0

quadratic...

the father takes 93 minutes, the son takes 108 minues.