Question 862943
In 1 hour and 36 minutes, the cars travel a total of 208 miles.
(a + b)* 1{{{36/60}}} = 208
car a = b+10 (10mph faster)
((b+10) + b)* 1{{{36/60}}} = 208
(2b+10)* 1.6 = 208
Divide each side by 1.6
2b + 10 = 130
Subtract 10 from each side
2b = 120
b = 60
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If car b is traveling 60 mph, then car a is traveling 70 mph.
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Let's plug this in to make sure we're correct.
Car b travels 60 miles in the first hour, and 60*.6 in the partial hour - 96 miles total
Car a travels 70 miles in the first hour, and 70*.6 in the partial hour - 112 miles total
96 + 112 = 208
Success!