How long would it take a car traveling 65 miles an hour to go 275 miles?
To calculate time (t) as a function of speed (s) & distance
(d), we use the formula:
s * t = d
That translates to
65 * t = 275
t = 275/65
t = 4.2307692307692307692307692307692
Making the rough answer just over 4.23 hours.
To be more precise, we need to adjust our speed measurement from
hours down to minutes, seconds, or further depending on the
requirements for precision. We can specify speed in terms of miles
per minute by dividing 65 / 60:
65 / 60 = 1.08333333 MPM
or in terms of miles per second by again dividing 1.08333 /
60:
10.83333333 / 60 = 0.01805556 MPS
To express our answer in terms of seconds, we then use our more
precise value for speed in the original formula:
0.01805556 * t = 275
t = 275/0.01805556
t = 15230.765481657727591943977367636 seconds
Converting seconds into hours and minutes:
(15230/60)/60 = 4.23 hours
4 hours = 4 * 60 * 60 seconds
4 hours = 14400 seconds
15230 - 14400 = 830 seconds remaining.
830 / 60 = 13.8333333 minutes
13 minutes = 13 * 60 seconds
13 minutes = 780 seconds
830 - 780 = 50 seconds remaining.
Putting that together gives us an answer of:
4 hours, 13 minutes, 50 seconds.