SOLUTION: Pa got in his 29 Ford instead of driving west from Jackson is a constant speed of 30 mph. An hour later mom got in her 31 Buick and started driving west from Jackson at a constant

Question 883180: Pa got in his 29 Ford instead of driving west from Jackson is a constant speed of 30 mph. An hour later mom got in her 31 Buick and started driving west from Jackson at a constant speed. After driving four hours ma had passed pa and was 10 miles ahead of him. How fast with ma driving
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Ma has to drive faster, or else she
can't catch Pa
Pa's speed = mi/hr
Let Ma's speed = mi/hr
--------------------------------
How much of a head start does Pa get?

mi
------------------
Start a stop watch when Ma leaves
Let = the distance Ma has traveled
when she catches Pa
Let = Ma's speed in mi/hr
-----------------------------
Pa's equation:
(1)
Ma's equation:
(2)
--------------------
(1)
(1)
Substitute this value into (2)
(2)
(2)
(2)
-----------------
Ma is driving 37.5 mi/hr
check:
(2)
(2)
(2)
OK

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