SOLUTION: Emily drove 240 miles to see her parents for Thanksgiving. On the return trip, she drove 20 mph slower due to bad weather, so she made the return trip in 2 hours more time. What wa

Question 1060203: Emily drove 240 miles to see her parents for Thanksgiving. On the return trip, she drove 20 mph slower due to bad weather, so she made the return trip in 2 hours more time. What was her speed on the way to her parents' home.
I am just confused on how to find the equation for the problem, once I have the equation I can solve the problem.
Found 3 solutions by ikleyn, josmiceli, MathTherapy:
Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
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Emily drove 240 miles to see her parents for Thanksgiving. On the return trip, she drove 20 mph slower due to bad weather,
so she made the return trip in 2 hours more time. What was her speed on the way to her parents' home.
I am just confused on how to find the equation for the problem, once I have the equation I can solve the problem.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The equation is = 2. where "r" is the speed on the way "to there", (r-20) is the speed on the way back. is the time to get "there". is the time on the way back.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
It sounds like mi is the one-way distance
Let = her speed in mi/hr going to parent's house
Let = her time in hrs going to parent's house
---------------------------------------------------
Going to parent's house:
(1)
Returning from parent's house:
(2)
-------------------------------
It's all yours
hint: solve for in (1), plug that into (2)
then solve for

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Emily drove 240 miles to see her parents for Thanksgiving. On the return trip, she drove 20 mph slower due to bad weather, so she made the return trip in 2 hours more time. What was her speed on the way to her parents' home.
I am just confused on how to find the equation for the problem, once I have the equation I can solve the problem.

Let speed on way to parents� house be S
Then speed on return trip = S � 20
Time taken to travel to parents� house:
Time taken on return trip:
Since the return trip took 2 hours longer, we get the following TIME equation:
FYI: You don't have to calculate time! It's not necessary since you're not asked to find the time spent on either trip-leg.
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