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Monday, February 16, 2009

Calculating speed

Question
Mary left by plane to visit her mom in LA, 420km away. Fifteen minuntes later, her mom left to meet her at the airport. She drove 20km to the airport at 40km per hr, arriving just as the plane taxied in. What was the speed of the plane?




Solution
First, speed is calculated by D
----
t

where
D = distance
t = time

Second, determine the distance traveled by the airplane. 420 km

Third, determine the time spent by the airplane to travel such distance
1. 15 minutes after take off, Mary's mother set out for the airport
2. It took 30 minutes for Mary's mother to travel the 20 kilometer distance to the airport at a speed of 40 kilometers per hour.

Total travel time for the airplane therefore is 45 minutes.

Lastly, calculate for the speed 420 kilometers
-----------------------
45 minutes

The speed of the airplane is 9.33 kilometers per minute OR 560 kilometers per hour.

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