Time varies inversely as the rate of travel. If Jennifer drove 13 hours at an average rate of 54 miles per hour, how long would thr trip take at a rate of 65 miles per hour
4 answers
Proportions
Oh right, thanks.
So it would be 13/54 and x/65
So it would be 13/54 and x/65
No it isn't. It was said that time varies inversely as the rate:
t = k/r
where
t = time (hours)
r = rate (mph)
k = some constant
If we solve for the constant, k,
k = r*t
and this k is the same for all. Therefore if we have two different values for time and rate,
r1 * t1 = r2 * t2
So instead of dividing them (as what you've typed above), we multiply them. Solving,
54 * 13 = 65 * t2
Now just solve for t2. Hope this helps~ `u`
t = k/r
where
t = time (hours)
r = rate (mph)
k = some constant
If we solve for the constant, k,
k = r*t
and this k is the same for all. Therefore if we have two different values for time and rate,
r1 * t1 = r2 * t2
So instead of dividing them (as what you've typed above), we multiply them. Solving,
54 * 13 = 65 * t2
Now just solve for t2. Hope this helps~ `u`
Thanks