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Terry can run 15 miles in the same amount of time it takes mark to run 21 miles. If mark runs 2mph faster than terry, how fast does mark run?

User Reapen
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2 Answers

4 votes

Final answer:

Terry runs at a speed of 5 mph. Since Mark runs 2 mph faster than Terry, Mark runs at a speed of 7 mph.

Step-by-step explanation:

Let's denote Terry's speed as x mph. Since Terry can run 15 miles in the same amount of time it takes Mark to run 21 miles, we can set up the equation:

15/x = 21/(x+2)

Cross multiplying, we get:

15(x+2) = 21x

Expanding the equation, we have:

15x + 30 = 21x

Subtracting 15x from both sides, we get:

30 = 6x

Dividing both sides by 6, we find:

x = 5

Therefore, Terry runs at a speed of 5 mph. Since Mark runs 2 mph faster than Terry, Mark runs at a speed of 5 + 2 = 7 mph.

User Ziyao  Li
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6.1k points
3 votes
you need to multiply 21 *2
User Dinsen
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