Question

II. The train and roller coaster will arrive back at their stations at the same time. If the train had a .15 mile head start and is traveling at a speed of .65 miles per minute, and the roller coaster is travelling at an average speed of .78 miles per minute, how long before they both arrive at the station?​

Answer 1

1 minutes 9sec

Explanation:

given data

Train

let the distance be x

distance covered by train= (15+x)miles

speed of train=65mile per minute

time t=?

we know that speed= distance/time

distance= speed*time

15+x=65t----------------------1

Roller coaster

distance=x miles

speed= 78miles per minutes

time t=?

we know that speed= distance/time

distance= speed*time

x=78t----------------------2

put x=78t in equation 1 we have

15+78t=65t

78t-65t+15=0

13t=-15

t=15/13

t=1.15====1miin 9sec

so it will take 1minutes 9sec