Question

When Sarah takes the bus to work, the trip takes 30 minutes. When she takes the train to work, the trip takes 20 minutes. The average speed to the train is 15 mph faster than the speed of the bus. Find the distance to work.

Answer 1

30 mt

Answer 2

time taken to travel by bus= 30 min = 1/2 hour
time taken to travel by train = 20min = 1/3 hour
let the speed of bus be = x mph
then speed of the train = (x+15) mph
speed = distance/time
let the distance to work be y metres
then,
distance= speed*time
1/2*x=1/3*(x+15)
x=30mph
now
distance=y= speed of bus*time
y= 30*1/2=15mt