SOLUTION: Nolan walked to the store from his home at the rate of 5 miles per hour. after spending one half hour in the store,his friend gave him a ride home at the rate of 30 miles per hour.

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Question 167095This question is from textbook Amscos Integrated algebra 1
: Nolan walked to the store from his home at the rate of 5 miles per hour. after spending one half hour in the store,his friend gave him a ride home at the rate of 30 miles per hour. he arrived home 1 hour and 5 minutes (1 1/12) after he left. how far is the store from nolans home?
This question is from textbook Amscos Integrated algebra 1

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
distance equals rate multiplied by time
in this case no matter how Nolan travels the distance between home and the store is equal to the distance from the store back to home. Also total travel time is 7/12 of and hour(35 minutes). Figured as 1%281%2F12%29minus the 1/2 hour he spent in the store. so lets call time traveled from home to store (7/12)-t and the travel time from store to home t
so distance from home to store is represented as d=5mph((7/12)-t)and distance from store to home is represented as d=30t
since we know thes are equal we have 30t=(35/12)-5t
multiply everything by 12 360t=35-60t---->420t=35---->t=35/420=1/12
so 1/12 of and hour or 5 minutes is the time traveled from the store to home
in the car
which means that (7/12-1/12)= 1/2 hr or 30 minutes of travel time as Nolan walked from home to the store.