SOLUTION: During rush hour,adriana can drive 30 miles using the side roads in the same time that it takes to travel 15 miles on the Freeway. If Adriana'a rate on the side roads is 6 mi/hr fa
Algebra.Com
Question 121073: During rush hour,adriana can drive 30 miles using the side roads in the same time that it takes to travel 15 miles on the Freeway. If Adriana'a rate on the side roads is 6 mi/hr faster than her rate on the freeway, find her rate on the side roads.
6,8,12,14
Is the correct answer 6?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Is the correct answer 6?I THINK THAT 6 IS HER RATE ON THE FREEWAY????
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let r=Adriana's rate on the freeway
then r+6=her rate on the side roads
time on the side roads=30/(r+6)
time on the freeway=15/r
and we are told that the above two times are equal, so:
30/(r+6)=15/r multiply each side by r(r+6) {or cross-multiply}
30r=15(r+6) get rid of parens
30r=15r+90 subtract 15 from both sides
30r-15r=15r-15r+90 collect like terms
15r=90 divide both sides by 15
r=6 mph--------------------------------her rate on the freeway
r+6=6+6=12mph----------------------------her rate on the side roads
CK
30/12=15/6
15/6=15/6
Hope this helps----ptaylor
RELATED QUESTIONS
During rush hour, Adriana can drive 30 miles using the side roads in the same time that... (answered by ankor@dixie-net.com)
During rush hour, Adriana can drive 20 miles using the side roads in the same time that... (answered by stanbon)
During rush hour, Adriana can drive 20 miles using the side roads in the same time that... (answered by checkley75)
During rush hour, Adriana can drive 20 miles using the side roads in the same time that... (answered by stanbon)
During rush hour, Adriana can drive 20 miles using the side roads in the same time that... (answered by scott8148)
During rush hour, Adriana can drive 40 miles using the side roads in the same time that... (answered by scott8148,Edwin McCravy)
I need help with this word problem
During rush hour, Bill can drive 15 miles using the (answered by stanbon)
During rush hour, Fernando can drive 20 miles using the side roads in the same time that... (answered by Paul)
Word problems are so confusing....please help.
During rush hour, bill can drive 15... (answered by josmiceli,scott8148)