Question 155437
Info from problem:
total miles: 363 miles
two speeds: 58 mph and 52 mph
total time: 6 hrs 45 mins OR 6.75 hrs
.
You must apply the "distance formula":
d = rt
where
d is distance
r is rate or speed
t is time
.
"distance traveled at 58 mph" + "distance traveled at 52 mph" = "total distance"
.
If we:
Let t = time traveling at 58 mph
then
6.75-t = time traveling at 52 mph
.
"distance traveled at 58 mph" = 58t
"distance traveled at 52 mph" = 52(6.75-t)
"total distance" = 363 miles
.
So, now we can rewrite:
"distance traveled at 58 mph" + "distance traveled at 52 mph" = "total distance"
as
58t + 52(6.75-t) = 363
58t + 351 - 52t = 363
6t + 351 = 363
6t = 12
t = 2 hours (time traveling at 58 mph)
.
6.75-t = 6.75-2 = 4.75 hours (time traveling at 52 mph)