Question 966300

An airplane took 3 h longer to fly 1200 mi than it took for a flight of 480 mi. If the plane's rate was the same on each trip, what was the time for each flight?
<pre>Let time taken to fly 1,200 miles, be T
Then time taken to fly 480 miles = T - 3
Since speed was same for both distances, then we can say that: 
{{{1200/T = 480/(T - 3)}}}
  1,200(T – 3) = 480T ----- Cross-multiplying
1,200T – 3,600 = 480T
 1,200T – 480T = 3,600
          720T = 3,600
T, or time taken to fly 1,200 miles = {{{3600/720}}}, or {{{highlight_green(5)}}} hours
Time taken to fly 480 miles: 5 – 3, or {{{highlight_green(2)}}} hours