... using his super speed to travel at 150 km/hr to the east. Stealthman leaves Granite City at the same time, also heading east, taking a leisurely drive in the Stealthmobile at 70 km/hr. How long, and at what distance from Granite City, will Mightyman overtake Stealthman?
Answers (1)
Mightman Stats (distances calculated from Modernopolis)
xM = 0 km
vM = 150 km/h
Stealthman Man (distances calculated from Modernopolis)
xS = 500 km
vS = 70 km/h
t = time
Solve
xM + (t * vM) = xS + (t * vS)
for t.
0 km + t * 150 km/h = 500 km + t * 70 km/h
0 = 500 + 70t - 150t
-500 = -80t
t = 6.25 hours
It will take 6 hours and 15 minutes for Mightman to catch up to Stealthman.
x = 6.25 * 150 km/h - 500 km
x = 437.5 km
The overtaking will occur 437.5 km east of Granite City and 937.5 east of Modernopolis.