SOLUTION: Jackie either drives or bicycles from home to school. Her average speed when driving is 36mph, and her average speed when bicycling is 12mph. If it takes her 1/2 hour less to dri

Algebra ->  Equations -> SOLUTION: Jackie either drives or bicycles from home to school. Her average speed when driving is 36mph, and her average speed when bicycling is 12mph. If it takes her 1/2 hour less to dri      Log On


   

Question 444299: Jackie either drives or bicycles from home to school. Her average speed when driving is 36mph, and her average speed when bicycling is 12mph. If it takes her 1/2 hour less to drive to school than to bicycle, how long does it take her to go to school, and how far is the school from her home?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
average speed when driving is 36mph, and her average speed when bicycling is 12mph.
If it takes her 1/2 hour less to drive to school than to bicycle,
how long does it take her to go to school?
:
Let t = travel time to school on the bike
then
(t-.5) = travel time to drive to school
:
Write a distance equation; dist = speed * time:
:
36(t-.5) = 12t
36t - 18 = 12t
36t - 12t = 18
24t = 18
t = 18%2F24
t = 3%2F4 hr to bike to school
then
3%2F4 - 1%2F2 = 1%2F4 hr to drive
:
:
and how far is the school from home?
3%2F4 * 12 = 9 mi
check
1%2F4 * 36 = 9 mi