SOLUTION: John and Mike have been friends since school but haven't seen each other in many years, so they agree to meet one Saturday. John leaves his house at 10:00am and drives east at 50
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Question 188297: John and Mike have been friends since school but haven't seen each other in many years, so they agree to meet one Saturday. John leaves his house at 10:00am and drives east at 50 miles per hour. Mike leaves his house at the same time and drives west at 45 miles per hour. If their houses are connected by a straight highway running east-west (no stoplights or towns in the way) and are 350 miles apart then (a) how far from John's house will they meet? (b) at what time will they meet? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! John leaves his house at 10:00am and drives east at 50 miles per hour.
Mike leaves his house at the same time and drives west at 45 miles per hour.
If their houses are connected by a straight highway running east-west (no
stoplights or towns in the way) and are 350 miles apart then:
:
(a) how far from John's house will they meet?
Let x = distance from John's house (and distance driven by John)
then
(350-x) = distance driven by Mike
:
When they meet they will have driven a total of 350 mi:
Their travel times will be the same; write a time equation; Time =
John's travel time = Mike's travel time =
Cross multiply:
45x = 50(350-x)
:
45x = 17500 - 50x
:
45x + 50x = 17500
x =
x = 184.21 mi from John's house, they will meet
:
(b) at what time will they meet?
Find the travel time of each = 3.68 hrs which is 3 + .68(60) = 3 hr 41 min
10 am + 3hr 41min = 1:41 pm
:
;
We can confirm our solution by finding Mikes travel time, it should equal John's = 3.68 hrs also
