SOLUTION: On Sunday morning, Mr. Howard flew a plane from his hometown to Dallas,flying at an average speed of 468 miles per hour. Later that day, hew flew the plane back to his hometown. T

Algebra ->  Inequalities -> SOLUTION: On Sunday morning, Mr. Howard flew a plane from his hometown to Dallas,flying at an average speed of 468 miles per hour. Later that day, hew flew the plane back to his hometown. T      Log On


   



Question 1101214: On Sunday morning, Mr. Howard flew a plane from his hometown to Dallas,flying at an average speed of 468 miles per hour. Later that day, hew flew the plane back to his hometown. Together, the two flights lasted a total of 11 hours. If Mr. Howard flew at an average speed of 390 miles per hour on the return trip, how long did the return trip take?
A.5 hr
B.6 hr
C.4 hr
D.11 hr

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52817) About Me  (Show Source):
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Let "T" be the time (in hours) for the returning trip, which is under the question.

Then the time for the flight to Dallas was (11-T) hours.


We have two distances equal:

468*(11-T) = 390*T.   ====>


5148 - 468T = 390T  ====>  5148 = 390T + 468T  ====>  5148 = 858T  ====>  T = 5148%2F858 = 6.


Answer.  6 hours. Option B).


Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of the two speeds is 468:390 = 6:5.

Since the distances are the same, the ratio of times is 5:6.

Since the total time was 11 hours, 5 hours were at the higher speed and 6 hours were at the lower speed.

The question asks for the time for the return trip (at the lower speed); the answer is 6 hours.

Answer B.