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Austin\'s position to San Diego is nearly equal to Austin\'s position to Orlando

ID: 1277169 • Letter: A

Question

Austin's position to San Diego is nearly equal to Austin's position to Orlando with a distance of about 1200 miles separating Austin from the other two cities. Southwest jets fly at 500 mph in still air. On a day when the jet steam flows from west to east at 100 mph, what are the times it will take Southwest jets to fly to from Austin to San Diego and from Austin to Orlando?

1. 2.0 hr from Austin to Orlando; 3.0 hr
from Austin to San Diego


2. 3.5 hr from Austin to Orlando; 1.7 hr
from Austin to San Diego


3. 3.0 hr from Austin to Orlando; 2.0 hr
from Austin to San Diego


4. 1.7 hr from Austin to Orlando; 3.5 hr
from Austin to San Diego


5. 2.4 hr from Austin to Orlando; 2.4 hr
from Austin to San Diego

Explanation / Answer

From west to east, the velocity East will be 500 + 100 = 600 mph

d = vt

1200 = 600t

t = 2 hrs to Orlando

From East to West, the velocity will be 500 - 100 = 400 mph

d = vt

1200 = 400 t

t = 3 hrs

Thus, the answer is choice number 1...

1. 2.0 hr from Austin to Orlando; 3.0 hr
from Austin to San Diego