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If 2 airplanes are flying at a rate of 500 mph and thirty min later the second airplane leaves in the same direction flying at a rate of 600 mph how long will it take the second airplane to overtake?
Wiki User
∙ 12y ago
Your question's wording doesn't quite make sense but I think I know the intent.
The first airplane takes off at time 0 (T=0)
It flies for .5 hours at a speed of 500mph and goes 250 miles
The second aircraft takes off at time .5 (T=.5)
The second aircraft is flying 100mph faster than aircraft 1
At T=1.5 the first aircraft is 750 miles downrange, the second aircraft is 600 miles down range (notice that it has gained 100 miles in one hour which is the speed difference)
At T=2.5 the first aircraft is 1250 miles downrange, the second aircraft is 1200 miles downrange
At T=3 the first aircraft is 1500 miles downrange, the second aircraft is also 1500 miles downrange
The answer is that the second aircraft will catch the first one 2.5 hours after the second aircraft took off.
If you want to graph this scenario you can use the below functions
Aircraft 1 = f(x) = 500X
Aircraft 2 = f(x) = 600X - 300
The intersection of these functions is where the second aircraft overtakes the first one.
Wiki User
∙ 12y ago
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