SOLUTION: Write an equation that can be used to solve the problem. Emily's school bus averages 28 mi/h, including stops. One day Emily forgot her backpack. Her mom left home 15 minutes (0.25

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Question 876747: Write an equation that can be used to solve the problem. Emily's school bus averages 28 mi/h, including stops. One day Emily forgot her backpack. Her mom left home 15 minutes (0.25h) after Emily and travled at an average speed of 42 mi/h. How long will it take Emily's mom to catch the bus?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
How much of a head start does the bus have?

mi
------------------
Start a stopwatch when her mom leaves
Let = time on stopwatch when she
catches up with the bus
Let = the distance that her mom
travels until she catches bus
----------------------
The buses equation:
(1)
Mom's equation:
(2)
----------------
(1)
By substitution:


hr
Emily's mom will catch the bus in 30 min
-------------
check:
(1)
(1)
and
(2)
(2)
OK

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