MHB Distance Probs: Jet Overtakes Light Plane at x A.M.

  • Thread starter Thread starter paulmdrdo1
  • Start date Start date
AI Thread Summary
A light plane departs at 9 A.M. at 200 miles per hour, while a jet leaves at 11 A.M. at 600 miles per hour. To determine when the jet overtakes the light plane, the time traveled by the light plane can be represented as "t" and the time for the jet as "t-2". By setting up an equation based on their distances, the problem can be solved. The jet will eventually catch up to the light plane due to its higher speed. The discussion emphasizes using a single variable to simplify the time representation in the calculations.
paulmdrdo1
Messages
382
Reaction score
0
A light plane leaves the airport at 9 A.M. traveling at an average speed of 200 miles
per hour . At 11 A.M. a jet plane departs and follows the same route. If the jet travels
at an average speed of 600 miles per hour, at what time will the jet overtake the
light plane?

how will i represent the time here?(use one variable only)
 
Mathematics news on Phys.org
paulmdrdo said:
A light plane leaves the airport at 9 A.M. traveling at an average speed of 200 miles
per hour . At 11 A.M. a jet plane departs and follows the same route. If the jet travels
at an average speed of 600 miles per hour, at what time will the jet overtake the
light plane?

how will i represent the time here?(use one variable only)
Hello.

You observe that, if the first one uses a time "t", the second one will use a time "t-2".

You can, solve the question.:)

Regards.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

Similar threads

Replies
11
Views
3K
Replies
13
Views
6K
Replies
10
Views
2K
Replies
2
Views
2K
Replies
4
Views
2K
Back
Top