Explanation:
Daniel lives 27 miles from work.
Total distance traveled by Daniel = 27 miles
He rides his bike at 8 mph to the metro station
Let the distance to metro station be s miles and time taken be t hours.
We have
s = 8t
He then takes the metro to work, which travels at 39 mph. If he spends 12 minutes less on the metro than on his bike
Time taken = t + 12 minutes = (t + 0.2) hours
Remaining distance = 27 - s
27 -s = 39 ((t + 0.2)
27 - 8 t = 39t + 7.8
47t = 19.2
t = 0.409 hours
s = 8 x 0.409 = 3.27 miles
The distance from his house to the metro is 3.27 miles
