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?

Gordn Jul 22, 2022

#3**+1 **

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 \(d=\frac{200 mpm}{1 min}=200 miles.\)

Guest Jul 22, 2022