SOLUTION: One person left at 9:00am and drove north at 60 miles per hr. Another person left the same rest stop and an hour later and headed south at 50 mph. What time were they 335 miles

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One person left at 9:00am and drove north at 60 miles per hr. Another person left the same rest stop and an hour later and headed south at 50 mph. What time were they 335 miles       Log On


   



Question 976287: One person left at 9:00am and drove north at 60 miles per hr. Another person left the same rest stop and an hour later and headed south at 50 mph. What time were they 335 miles apart ?

Found 3 solutions by lwsshak3, ikleyn, greenestamps:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
One person left at 9:00am and drove north at 60 miles per hr. Another person left the same rest stop and an hour later and headed south at 50 mph. What time were they 335 miles apart ?
***
let x=travel time of car traveling South
x+1=travel time of car traveling North
distance=speed*travel time
..
60(x+1)+50x=335
60x+60+50x=335
110x=275
x=2.5 hrs
What time were they 335 miles apart? 11:30 am

Answer by ikleyn(53882) About Me  (Show Source):
You can put this solution on YOUR website!
.
One person left at 9:00am and drove north at 60 miles per hr.
Another person left the same rest stop an hour later and headed south at 50 mph.
What time were they 335 miles apart ?
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The answer "11:30 am" in the post by @lwsshak3 is incorrect.

The correct answer is "12:30 am".



Answer by greenestamps(13355) About Me  (Show Source):
You can put this solution on YOUR website!


Let t be the number of hours after 9 am.

The distance between the two people is changing at the rate of 60 miles each hour for 1 hour.

The distance between them is changing at the rate of (60+50) = 110 miles each hour for (t-1) hours.

The total distance between them after t hours is 335 miles.

60%2B110%28t-1%29=335
60%2B110t-110=335
110t=385
t=385%2F110=3.5

The time when the two people are 335 miles apart is 3.5 hours after 9 am, which is 12:30 pm.

ANSWER: 12:30 pm