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Help with algebra problem?
Okay so there are two trucks traveling toward each other. One truck travels at a rate of 55mph and the other travels at 65mph. In total, they both travel 180 miles. How many miles did they each travel? Please set up an equation and solve. How would I be able to solve if a time is not given nor a distance?
2 Answers
- PuzzlingLv 74 years ago
It's the same as if a single truck was traveling 180 miles at 120 mph.
(55 + 65 = 120)
180 miles / 120 mph = 1.5 hours
To do it the longer way, let t be the time in hours.
First truck --> 55t miles
Second truck --> 65t miles
Both trucks:
55t + 65t = 180
120t = 180
t = 180/120
t = 3/2
t = 1.5 hours
Double-check:
55 mph x 1.5 hours = 82.5 miles
65 mph x 1.5 hours = 97.5 miles
Answer:
1.5 hours