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
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
