Express Airlines has a transcontinental flight between Big City and Urbana - a distance of 1,500 km that it completes in three hours. Akatsuki is going from her home in Urbana to a convention in Big City that starts 5 hours after her plane leaves for Big City and ends 6 hours later. Akatsuki's plane suffers a mechanical failure and is forced to land at the Middlebrook airport, located 750 km away from both Big City and Urbana. What's the longest amount of time that Akatsuki can wait for repairs before she misses her convention?  Pick one:
A) 10.5 hours
B) 6 hours
C) 5 hours
D) 4.5 hours
E) 3 hours
Airplane's rate of speed: 1,500/3 = 500 km/h   Distance between Middlebrook and Big City: 750 km   Travel time between Middlebrook and Big City/Urbana:   750/500= 
<gadget id="calculator">  750/500</gadget>
<output>3/2 = around 1.5</output>
1.5 hours   Time into flight: 1.5 hours.   Time until convention begins: 5 - 1.5= 4.5 hours   Time until convention ends:  4.5 + 6= 
<gadget id="calculator"> 4.5 + 6</gadget>
<output>10.5</output>
10.5 hours   IMO, the correct answer is "10.5 hours."
<result>A</result>
Express Airlines has a transcontinental flight between Big City and Urbana - a distance of 1,500 km that it completes in three hours. Akatsuki is going from her home in Urbana to a convention in Big City that starts 5 hours after her plane leaves for Big City and ends 6 hours later. Akatsuki's plane suffers a mechanical failure and is forced to land at the Middlebrook airport, located 750 km away from both Big City and Urbana. What's the longest amount of time that Akatsuki can wait for repairs before she misses her convention?