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masya89 [10]
3 years ago
9

Randall is 140 miles away from Gregory. They are traveling towards each other. If Gregory travels 4 mph faster than Randall and

they meet after 7 hours, how fast was each traveling?
Physics
1 answer:
mote1985 [20]3 years ago
5 0

Answer:

8 mph, 12 mph

Explanation:

t = Time taken = 7 hours

x = Speed of Randall

x+4 = Speed of Gregory

The distance they both will travel together is 140 miles if they start at the same time.

Distance=Speed\times time

(x+4)t+xt=140\\\Rightarrow (x+4)7+7x=140\\\Rightarrow 7x+28+7x=140\\\Rightarrow 28+14x=140\\\Rightarrow x=\dfrac{140-28}{14}\\\Rightarrow x=8\ mph

The speed of Randall is 8 mph

The speed of Gregory is 8+4 = 12 mph

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