A subway travels 60 miles per hour from Glendale to Midtown. Another subway, traveling at 45 miles per hour, takes 11 minutes longer for the same trip. How far apart are Glendale and Midtown?
+129839 Let the distance betwen the two cities,in miles = D
And....Distance / Rate = Time
And let's convert the rate to miles per minute.....60 mph = 1 mile per minute......45 mph = 3/4 miles per minute
So....equating the times, we have that 11 minutes added to the faster train's time = the slower train's time.......algebraically, we have :
D / 1 + 11 = D / (3/4) simplify
D + 11 = (4/3)D subtract D from both sides
11 = (1/3)D multiply both sides by 3
33 = D
Thus....the cities are 33 miles apart
Proof....the faster train covers this distance in 33 min.......the slower train takes (4/3) as long = (4/3)*33 = 4 * 11 = 44 minutes......so......the slower train takes 11 minutes longer
A subway travels 60 miles per hour from Glendale to Midtown. Another subway, traveling at 45 miles per hour, takes 11 minutes longer for the same trip. How far apart are Glendale and Midtown?
60t =45(t + 0.1833), solve for t
t = 0.55 of an hour, or 33 minutes for the 60-mph train. Therefore the distance is:
0.55 x 60 = 33 miles - the distance between Glendale and Midtown.
