SOLUTION: One morning, John drove 5 hours before stoping to eat. After lunch, he increased his speed by 10 mph. If he completed a 430-mile trip in 8 hours of driving time, how fast did he dr
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Question 154741This question is from textbook college algebra ninth edition
: One morning, John drove 5 hours before stoping to eat. After lunch, he increased his speed by 10 mph. If he completed a 430-mile trip in 8 hours of driving time, how fast did he drive in the morning?
This question is from textbook college algebra ninth edition
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One morning, John drove 5 hours before stopping to eat. After lunch, he
increased his speed by 10 mph. If he completed a 430-mile trip in 8 hours of
driving time, how fast did he drive in the morning?
:
Let s = his speed in the morning
then
(s+10) = his speed in the afternoon
;
A total of 8 hrs driving time, if he drove 5 hrs in the morning,
He drove 3 hrs in the afternoon
:
Write a distance equation: Dist = time * speed
:
Morning miles + afternoon miles = 430 miles
5s + 3(s+10) = 430
;
5s + 3s + 30 = 430
:
8s = 430 - 30
s =
s = 50 mph in the morning
:
:
Check solution by finding the distance at the two speeds:
5(50) + 3(60) =
250 + 180 = 430
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