SOLUTION: haretown and tortoiseville are 96 miles apart. a hare travels at 9mph from haretown to tortoiseville while a while a tortoise travels at 3mph from tortoiseville to haretown.
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Question 1002667: haretown and tortoiseville are 96 miles apart. a hare travels at 9mph from haretown to tortoiseville while a while a tortoise travels at 3mph from tortoiseville to haretown.
if both set out at the same time how many miles will the hare have to travel before meeting the tortoise en route Found 2 solutions by fractalier, josmiceli:Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Since the hare travels three times as fast, he will cover three times the distance in the same amount of time.
Call the distance the turtle covers, x.
Then the hare covers 3x.
Together that is 96 miles.
so x + 3x = 96
4x = 96
x = 24
3x = 72 miles
You can put this solution on YOUR website! Let = distance in miles the hare has to
travel until meeting the tortoise = distance the tortoise travels
until meeting the hare
Let = time in hrs
---------------------
Hare's equation:
(1)
Tortoise's equation:
(2)
---------------------
By substitution:
(2)
(2)
(2)
--------------
(1)
(1)
(1)
The Hare travels 72 mi until it meets the tortoise
check:
(2)
(2)
(2)
and
OK
