SOLUTION: Fran is riding her bike on a 30 mile route. First she rides at a rate of 15 miles per hour. Then she rides at a rate of 6 miles per hour. Her total time is 2.5 hours. Find her dist

Question 504284: Fran is riding her bike on a 30 mile route. First she rides at a rate of 15 miles per hour. Then she rides at a rate of 6 miles per hour. Her total time is 2.5 hours. Find her distance ridden at 15 miles per hour and her distance ridden at 6 miles per hour
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let her ride x miles @ 15mph
then she will ride 30-x @ 6mph
...
Time at 15 mph + time at 6 mph = total time
t=d/r
x/15 + (30-x)/6 = 2.5
LCD =30, Multiply by LCD
2x+5(30-x)=2.5*30
2x+150-5x=75
-3x=-75
x=25
25 miles @15 mph
5 miles @6 mph
RELATED QUESTIONS
a girl rides her bike up a hill at 10 miles per hour. She then rides her bike down the... (answered by robertb)

Jenna rides her bike then the bus and finally the train to visit her brother. She rides... (answered by josgarithmetic)

On a bike trip, Erika rides 5 miles in the first 30 minutes and 13 miles in the next... (answered by Alan3354)

Tatiana takes a 40 mile round trip bicycle trip and travels at a a constant speed the... (answered by stanbon)

Maria is training for a triathlon. Yesterday, she rode her bike for eight and two-thirds... (answered by stanbon)

SOLVE: ERIN RIDES HER BIKE AT A CONSTANT SPEED FOR 21 MILES. SHE THEN RETURNS HOME AT (answered by stanbon)

A student rides her bike to school.Her school is 5 miles from her home.She travels at an... (answered by rfer)

Lashonda is riding her bicycle. She rides for kilometers at a speed of kilometers per... (answered by Cromlix)

Brianna rides her bike then the bus and finally the train to visit her aunt. She rides... (answered by ikleyn)