SOLUTION: One morning, John drove 5 hours before stopping to eat. After lunch, he increased his speed by 10 mph. If he completed a 310-mile trip in 8 hours of driving time, how fast did he d

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: One morning, John drove 5 hours before stopping to eat. After lunch, he increased his speed by 10 mph. If he completed a 310-mile trip in 8 hours of driving time, how fast did he d      Log On

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Question 323096: One morning, John drove 5 hours before stopping to eat. After lunch, he increased his speed by 10 mph. If he completed a 310-mile trip in 8 hours of driving time, how fast did he drive in the morning?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = the distance he drove in AM
Let r = his speed in the AM
8+-+5+=+3 hrs driving time in PM
given:
d+=+r%2A5
310+-+d+=+%28r+%2B+10%29%2A3
By substitution:
310+-+5r+=+3r+%2B+30
8r+=+310+-+30
8r+=+280
r+=+35
He drove 35 mi/hr in the AM
check:
d+=+5%2A35
d+=+175
310+-+d+=+%28r+%2B+10%29%2A3
310+-+175+=+%2835+%2B+10%29%2A3
135+=+45%2A3
135+=+135
OK