Question 1190516
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s = Peter's speed
s+15 = Serena's speed since she is 15 mph faster


Calculate the distance Peter travels after 2 hours
distance = rate*time
distance = s*2
distance = 2s


Do the same for Serena
distance = rate*time
distance = (s+15)*2
distance = 2s+30


Add the distances and add the gap of 5 miles as well
(2s)+(2s+30)+(5) = 4s+35


After 2 hours, the two people are 4s+35 miles apart
Set this equal to the 215 mentioned and we get the following
4s+35 = 215
4s = 215-35
4s = 180
s = 180/4
s = 45


Peter is traveling at a rate of 45 mph
Serena is traveling at a rate of s+15 = 45+15 = 60 mph


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Question: How many miles did Peter travel in 2 hours?
Answer: <font color=red>90 miles</font>


Reason:
distance = rate*time = 45*2 = 90


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Question: How many miles did Serena travel in 2 hours?
Answer: <font color=red>120 miles</font>


Reason:
Distance = rate*time = 60*2 = 120


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Question: How far apart are Peter and Serena?
Answer: <font color=red>215 miles</font>


Reason: 
Stated in the instructions


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Question: What is Peters speed what is Serena's speed?
Answer: 
Peter's speed = <font color=red>45 mph</font>
Serena's speed = <font color=red>60 mph</font>


Reason:
Calculated earlier.
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