SOLUTION: k leaves chgo. at 9:10am piloting a plane trying to overtake v who is 12 miles ahead in a helicopter. If the plane is traveling 210 mph and the helicopter 165 mph, at what time wi

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Question 716962: k leaves chgo. at 9:10am piloting a plane trying to overtake v who is 12 miles ahead in a helicopter. If the plane is traveling 210 mph and the helicopter 165 mph, at what time will k overtake v?
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
At 9:10, v was 12 miles. After t more time in hours, v was at 12+165t miles.

At the same time passed of t, k went 210*t miles.

Those distance must match, so they must be equated.
12%2B165t=210t.
Solving for t gives in hours %284%2F15%29, which is the same as 16 minutes.

These two, k and v, reach the same distance at 9:10+16 minutes or 9:26am.