SOLUTION: John and Aaron start running from the same point. John runs due north at a rate of 10km/hour and Aaron runs due west at a rate of 12km/hour. Write an equation to represent their

Question 1160192: John and Aaron start running from the same point. John runs due north at a rate of 10km/hour and Aaron runs due west at a rate of 12km/hour.
Write an equation to represent their distance.
How long will it take for the two men to be 80km apart?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Distance equals rate times time. So the distance John runs is

And the distance Aaron runs is

The distance between them is the hypotenuse of a right triangle where the individual distances are the legs.

Simplify and solve the quadratic equation for the positive root.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
A cyclist competes in a road race over 200 kilometers. The path of the course starts off... (answered by macston)

A cyclist competes in a road race over 200 kilometers. The path of the course starts off... (answered by josgarithmetic)

Jessica and Barbara start running from the same point at 2:00 PM. Jessica runs east at 4... (answered by Alan3354)

Runners Aaron and Ben leave the same oint P at a right angle to one another. Aaron runs... (answered by ankor@dixie-net.com)

At the same starting point, Margeorie and Paula decided to run in opposite directions.... (answered by ikleyn)

two brothers leave their house at the same time. alex runs due east at a constant speed... (answered by josmiceli,mananth,MathTherapy)

Two women live on the same street, but live 1.5 miles apart. Each morning both women... (answered by ankor@dixie-net.com)

Maia and John have a huge disagreement over a fraction in Business Math class. Maia walks (answered by stanbon)

A woman begins jogging at 3:00 P.M., running due north at a 6- minute- mile pace. Later,... (answered by stanbon,ankor@dixie-net.com)