Flying Ace

Posted on Friday, March 5th, 2010 at 7:45 pm

When switched to Ace Airlines aircraft that flew 100 kmh faster than their old, the time of its 2800 km of Dallas?

(Question continued)-Seattle flight is reduced by 30 min. Determine the speed of the new aircraft. SHOW YOUR WORK! I want at any table Formatic easy word problem (Since we're doing word problems in a table.) I want at any table Formatic easy word problem (Since we are doing word problems in a table.)

that know the speed = distance / time. look at the former first: v-100 = 2 800 / t since the jet age is 100 kmh slower than the new plane again now: v = 2800 / (t-0.5) since it takes half an hour earlier. now obtain two simultaneous equations (-100) tv = 2800 … 1 (0.5-) vt = 2800 … 2 by subtracting from each other we obtain v = 200t. substituting this into a get (200t-100) t = 2800 a quadratic equation is reduced to 2t ^ 2-t-28 = 0 this gives t =- 7 / 2 or t = 4. from t> 0, t = 4 only makes physical sense, finally using t = 4 in the equation for v, we have v = 800 kmh

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