Question 1048457
x=number of hours Ryan takes; x+1=number of hours Eric takes
In 1 hour Ryan fills 1/x of the orders
in 1 hour Eric fills 1/(x+1) of the order
Together, it takes them 4 hours
(1/x)+(1/x+1)=(1/4); in 1 hour, they both do 1/4 of the whole project.
multiply through by 4x(x+1)
4(x+1)+4x=(x)(x+1)
4x+4+4x=x^2+x
0=x^2-7x-4
x=(1/2)((7+/-sqrt(65); sqrt (65)=8.06
use positive root.
x=(1/2)(15.06)=7.53 hours for Ryan and 8.53 hours for EricANSWER
in 4 hours, Ryan does 4/7.53 and Eric does 4/8.53, and those are 0.531 and 0.469 with the sum 1.00 of the project.