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Steve and carol live 405 miles apart, they start at the same time and travel toward each other, Steve speed is 6mph greater than carols. If they meet in 2.5 hours, find their speed

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Answer:

Speed of Carol is 78 mph and that of Steve is 84 mph.

Step-by-step explanation:

Let the speed of Carol is x mph and that of Steve is (x + 6) mph.

If they move towards each other with that speed, then the resultant speed will be (x + x + 6) = (2x + 6) mph

With this resultant speed, they cover 405 miles in 2.5 hours.

So, [tex]2x + 6 = \frac{405}{2.5} = 162[/tex]

⇒ 2x = 156

⇒ x = 78 mph

So, speed of Carol is 78 mph and that of Steve is (78 + 6) = 84 mph. (Answer)