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

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) (Show Source): You can put this solution on YOUR website!
.

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 = = 6. Answer. 6 hours. Option B).

Answer by greenestamps(13203) (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.
RELATED QUESTIONS
the question is : Mr Howard drive his car from LA to Sacramento at an average speed of 52 (answered by josgarithmetic)
Travis lives 195 miles from Dallas. On a normal trip, it takes 180 minutes to drive from... (answered by Alan3354)
Two Air Force planes, one a jet and the other propeller-driven plane, left an air base at (answered by ankor@dixie-net.com)
A round trip from Seattle to Orlando. A plane flying nonstop from Seattle to Orlando can... (answered by mananth)
A plane travels from LA to NY at an average speed of 600 mph. On the way back from NY to... (answered by Alan3354)
Mr grainier, a cyclist rode from his home to his office at an average speed of 18 miles... (answered by ikleyn)
At 8 a.m. an airplane left an airport and flew in a northerly direction at an average... (answered by lwsshak3)
A plane flew at an average speed of 415 miles per hour for 7 hours how far did the plane... (answered by ikleyn,ankor@dixie-net.com)
Jim is a paratrooper who has to land on a moving aircraft carrier. If his plane is flying (answered by josmiceli)