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Jim and Mateo live across a lake from each other at a distance of about 3 miles. Jim can row his boat to Mateo's house
in 1 hour and 20 minutes. Mateo can drive his motorboat the same distance in 30 minutes.
If they leave their house at the same time and head toward each other, how long will it be before they meet?
How far from the nearest shore will they be when they meet?
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= . (1) ( <<<--- = of an hour = 1 hour and 20 minutes )
Comments:
is the Jim's rate (speed).
is the Mateo's rate (speed).
(1) is the standard Travel and Distance equation.
Solution
Simplify (1):
= 3,
multiply both sides by 4:
9t + 24t = 12,
33t = 12,
t = = of an hour.
To answer the second question, compare the values
and ,
that are the distances covered by Jim and Mateo respectively.
Solved.