Question 194555
the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested canyon instead of crossing the canyon, she hiked due north for a long time and then hiked due east for a shorter leg of the journey to the ranch. if she averaged 4 mph and it took her 9 hrs to get the ranch, then how far did she hike in a northerly direction? 
.
Applying the distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
.
Time it would take for Sue to go straight across:
t = d/r
t = 30/4 = 7.5 hours
.
Since she took 9 hours to go the long way:
9 - 7.5 = 1.5 hours 
This means she went north for 1.5 hours.
d = rt
d = 4(1.5) 
d = 6 miles north