Question 154027
The problem is applying the "distance formula":
d = rt
where
d is distance
r is rate or speed
t is time
.
Let x = time Lionel is traveling
x + .25 = time Robert was traveling
Note: 15 minutes is the same as .25 hour
.
"distance Lionel traveled" = "distance Robert traveled" + .5
Note: 500m is the same as .5 km
.
Our equation then is:
17x = 14(x + .25) + .5
.
Now, we solve for x:
17x = 14x + 3.5 + .5
17x = 14x + 4
3x = 4
x = 4/3
x = 1.333 hours