LEt the speed be x

Increased speed = x+10

Equation:



120[(x+10)-(x)]=(x)(x+10)







Use quadratic formula:



a=1, b=10, c=-1200





  or 

x=-40 or x=30

Remove the negative and simplfy the postive:

x=30

30+10=40

Hence, the speed going was 30mph and the speed returning was 40mph.

Paul.

 

RELATED QUESTIONS

A farmer drives a tractor from one town to another a distance of 120 kilometers.  He... (answered by stanbon)

A farmer drives a tractor from one town to another a distance of 120 kilometers. He... (answered by josmiceli)

A farmer drives a tractor from one town to another, a distance of 130 kilometers. He... (answered by nyc_function)

Jake drives a tractor from one town to another, a distance of 160 kilometers. He drives 8  (answered by lwsshak3)

Jake drives a tractor from one town to another, a distance of 130 kilometers. He drives 9  (answered by Jc0110,MathTherapy)

Jake drives a tractor from one town to another, a distance of 130 kilometers. He drives 9  (answered by josmiceli)

Jake drives a tractor from one town to another, a distance of 180 kilometers. He drives 6  (answered by josgarithmetic)

A farmer drives a tractor from one town to another, a distance of 180 kilometers. He... (answered by Tatiana_Stebko)

1. Jake drives a tractor from one town to another, a distance of 120 kilometers. He... (answered by mananth)