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# Two rockets fly directly at each other. One travels at a speed of $8500$ miles per hour, and the other travels at a speed of $3500$ miles pe

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Two rockets fly directly at each other. One travels at a speed of $8500$ miles per hour, and the other travels at a speed of $3500$ miles per hour. How many miles apart will they be one minute before they collide?

Jul 22, 2022

#1
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The rockets will be 300 miles apart.

Jul 22, 2022
#2
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Not enough info given.

Jul 22, 2022
#3
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I do not see why it should be 300 miles or why there should be too little information given. As the rockets fly towards each other, they approach each other with a speed of $$v_{approach}=v_{rocket,1}+v_{rocket,2}=8500 mph+3500 mph=12000 mph$$. Convert mph (miles per hour) to mpm (miles per minute): $$v_{mpm}=\frac{v_{mph}}{60min}=\frac{12000mph}{60min}=200mpm$$. The distance the rockets are apart one minute prior to collision is then $$d=\frac{200 mpm}{1 min}=200 miles.$$

Jul 22, 2022
#4
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Yes of course, there was not too little info given at all.  Sometimes I have rocks in my head.

Thanks Guest.

Melody  Jul 22, 2022