Sunday, July 3, 2011

About how fast is the second plane traveling


How fast is the second plane traveling?
An airplane passes over Memphis at a constant speed of 180 kilometers per hour. Another airplane flies over Memphis an hour later traveling the same route. 4 hours after the first plane passed over Memphis, the second plane caught up with it. How fast is the second plane traveling?
Mathematics - 2 Answers
Random Answers, Critics, Comments, Opinions :
1 :
Four hours after the first plane passed by Memphis, it had travelled a distance of 180 * 4 = 720 km. The second plane (since it passed over Memphis one hour after the first plane) would have actually flew only 3 hours to catch up with the first plane. Hence, its speed is 720/3 = 240 km/hr. Hope this helps.
2 :
When the 2nd plane flies over, the first plane has traveled an hour at 180 km/hr. The distance between the two planes is 180 km. 4 hours after the FIRST plan flies over, the 2nd catches it. This means as of this 180 km moment, the 2nd plane has only 3 hours left to catch the first plane. It needs to be traveling 180 km / hr divided by 3 hours faster than the first. 180 km / hr / 3 hr = 60 km more it needs to cover per hour. so the its speed needs to be 180 km / hr + 60 km / hour 240 km/hr