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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (Show Source):
Answer by MathTherapy(10556) About Me  (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, matrix%281%2C4%2C+T+%2B+1%261%2F2%2C+%22%2C%22%2C+or%2C+T+%2B+3%2F2%29

We then get the following DISTANCE equation: matrix%281%2C3%2C+520%28T+%2B+3%2F2%29%2C+%22=%22%2C+580T%29

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) About Me  (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