Ask your own question, for FREE!
Mathematics 48 Online
OpenStudy (anonymous):

Two cars leave town, one driving north and the other east. They are 26 miles apart when one of them is 14 miles farther from town than the other. At that time, how far were they each from the town? Distance driven by the two cars: ___miles?

OpenStudy (gw2011):

Let x=Distance of one car Let x+14=Distance of the other car Since one car travels north and the other car travels east, then the 26 miles represents the hypoteneuse. The formula to be used for this right triangle is: c^2=a^2+b^2 (26)^2=(x+14)^2+(x)^2 676=x^2+28x+196+x^2 676=2x^2+28x+196 Simplify this equation by dividing by 2 and you get: 338=x^2+14x+98 0=x^2+14x+98-338 0=x^2+14x-240 0=(x+24)(x-10) x+24=0 x=-24 This cannot be the solution because it is negative x-10=0 x=10 x+14=10+14=24 Therefore, one car is 10 miles away and the other car is 24 miles away

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Harmonic: i miss my bf
9 minutes ago 11 Replies 2 Medals
DemonKinge: so I'm trying to figure something out is anyone on hea dating aliciaa?
29 minutes ago 49 Replies 4 Medals
marienne: guys pls i need you all to send me some good music
6 minutes ago 22 Replies 1 Medal
MakaylaChuck23: how can I deal with a controlling dad (any tips?)
10 hours ago 4 Replies 1 Medal
Gucchi: chem help
14 hours ago 3 Replies 0 Medals
MakaylaChuck23: math
13 hours ago 7 Replies 0 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!