<PRE><B>Question 235957</B>
Here is yet another way, perhaps simpler.

Day 1 drive 40 miles per hour and arrive one minute late.
Day 2 drive 45 miles per hour and arrive one minute early.
How far do you drive to work
:
Let t = time to drive to work at 45 mph
then
(t+{{{2/60}}}) = time to work at 40 mph (takes 2 min longer)
which is
(t+{{{1/30}}}) 

;
The distance both days is the same, write a dist equation d = speed * time
:
day 1 dist = day 2 dist
40(t+{{{1/30}}}) = 45t
:
40t + {{{4/3}}} = 45t
{{{4/3}}} = 45t - 40t
5t = {{{4/3}}}
t = {{{1/5}}} * {{{4/3}}}
t = {{{4/15}}} hr
:
Find the dist
45 * {{{4/15}}} = 12 mi

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