SOLUTION: ella and jim are jogging.ella runs from point A to point B in one hour and 2 miles per hour faster than jim does. if jim takes 1/2 hour more than ella to go the same distance,find

Question 108212: ella and jim are jogging.ella runs from point A to point B in one hour and 2 miles per hour faster than jim does. if jim takes 1/2 hour more than ella to go the same distance,find the distance between points A and B.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
ella and jim are jogging. ella runs from point A to point B in one hour and 2 miles per hour faster than jim does. if jim takes 1/2 hour more than ella to go the same distance,find the distance between points A and B.
:
Let x = distance from A to B
:
Given:
E's time = 1 hr
J's time = 1.5 hrs
:
Write a speed equation: Speed = Distance/time:
:
E's speed = J's speed + 2
= + 2
:
Multiply equation by 3:
3* = 3* + 3(2)
:
Cancel out the denominators and you have:
3x = 2x + 6
3x - 2x = 6
x = 6 mi from A to B
:
:
Check solution by finding the speed of each:
6/1 = 6 mph
6/1.5 = 4 mph, (2 mph slower)
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