SOLUTION: Both planes were headed on the same route from Alaska to Hawaii. Plane #1 traveled at 520 Km/h and plane #2 traveled at 580 km/h. If plane #1 took off 1 1/2 hours before plane #2

Question 1158821: Both planes were headed on the same route from Alaska to Hawaii. Plane #1 traveled at 520 Km/h and plane #2 traveled at 580 km/h. If plane #1 took off 1 1/2 hours before plane #2, how many hours did it take for plane #2 to catch plane #1?
Found 3 solutions by somuahkata@gmail.com, MathTherapy, greenestamps:
Answer by somuahkata@gmail.com(7)   (Show Source): You can put this solution on YOUR website!
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Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
Both planes were headed on the same route from Alaska to Hawaii. Plane #1 traveled at 520 Km/h and plane #2 traveled at 580 km/h. If plane #1 took off 1 1/2 hours before plane #2, how many hours did it take for plane #2 to catch plane #1?

Let time plane #2 takes to get to the catch-up point, be T
Then time plane #1 takes to get to the catch-up point is,
We then get the following DISTANCE equation:
520T + 3(260) = 580T
3(260) = 580T - 520T
3(260) = 60T
Time plane #2 takes to catch up to plane #1, or
Answer by greenestamps(13206)   (Show Source): You can put this solution on YOUR website!

(1) In the 1.5 hours that the first plane flew before the second took off, the first plane traveled 1.5(520) = 780km.

(2) The second plane catches up to the first at the rate of (580-520)=60km/hr.

(3) The number of hours the second plane takes to make up the 780km is 780/60 = 13.

ANSWER: 13 hours

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