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A migrating elephant herd started moving at a rate of 6 mph.
One elephant stood still and was left behind.
Then this stray elephant sensed danger and began running at a rate of 10 mph to reach the herd.
The stray elephant caught up in 5 min. How long (in hours) did the stray run to catch up?
= .0833 hrs
how far did it run?
.0833 * 10 = .833 miles
Find the distance that the herd traveled while the stray ran to catch up.
.0833 * 6 = .5 miles
Then write an expression for the total distance the herd traveled.
Let x represent the distance (in miles) that the herd traveled while the stray elephant stood still.
d = x + .5 mi
Dist herd traveled = distance stray traveled (when he caught up)
x + .5 = .833 mi
x = .833 - .5
x = .333 mi while the stray stood still