SOLUTION: Jane's work commute is 6 miles. When the roads are icy, she travels 20mph slower and takes 9 minutes (or 3/20 hours) longer to get to work. How long does it take her to get to work

Question 685815: Jane's work commute is 6 miles. When the roads are icy, she travels 20mph slower and takes 9 minutes (or 3/20 hours) longer to get to work. How long does it take her to get to work when the roads are icy?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You need 2 equations, one for regular commute
and one for icy roads
Let = her regular speed in mi/hr
Let = her regular time in hrs
------------
given:
For regular commute:
(1)
For icy roads:
(2)
-----------------------------
(2)
Make these substitutions:
(1)
and
(1)
--------------
(2)
(2)
Multiply both sides by
(2)
(2)
Use quadratic formula

( ignore the negative square root )

hrs
min
When roads are icy,

When roads are icy, it takes 18 minutes
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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