Problema Solution
The indianapolis 500, a 500 mile auto race was first run 1911 in a time of 6hours, 42 minutes and 8 seconds. What were the average speeds for tje indy 500 for tje two years?
Answer provided by our tutors
Let
S = 500 miles is the distance traveled
t = 6hours, 42 minutes, 8 seconds is the time taken
Let 'v' denotes the average speed. Since average speed = distance traveled / time taken we have
v = S / t
We need to convert the time t in hours thus we have
t = (6 + 42/60 + 8/3600) hours
or
t = (6 + 7/10 + 1/450) hours
t = (6* 450 + 7*45 + 1) / 450
t = 3016 / 450
t = 1508 / 225 hours
Lets get back to the average speed:
v = 500 / (1508 / 225)
v = 500 * 225 / 1508
v = 74.60 miles per hour approximately
The average speed at Indy 500 in 1911 was 74.60 miles per hour approximately.