Question

Chelsea takes the bus to school, but she walks home. The bus travels to the school at an average speed of 45 miles per hour. While going home from school, Chelsea walks at a speed of 2. 5 miles per hour. In total, she takes 1 hour to travel to school and back. If t is the time it takes to go to school by bus, the equation that will help find the time it takes Chelsea to get to school on the bus is. The equation will have.

Answer 1

Answer:

Step-by-step explanation:

Let D be the distance between Chelsea's home and her school.

t is the time to travel by bus.  The total time for both the bus and walking is 1 hour, so the time to walk is (1-t)hr.

We know that Distance = Speed x Time, or D = S*T

Going by bus:

D = (.75)t

Walking:

D = (2.5)(1-t)

D is the same, so we can write:

(0.75)t = (2.5)(1-t)

0.75t = 2.5-2.5t

3.25t = 2.5

t = 0.769 hours

It takes Chelsea 0.769 hours, or 46.15 minutes to travel to school by bus.  This doesn't seem correct, since it means it only takes her 13.85 minutes to walk home.  So double check my numbers, but it is possible that the bus makes many stops, plus a bad traffic light, after Chelsea is picked up.  When she walks straight home it takes her less time than the bus.