Question 78860

d..ch5

#19
A plane took 1 hour longer to travel 560miles on the first portion of a flight than it took to fly 480miles on the second portion. If the speed was the same for each portion , what was the flying time for the second part of the trip?
<pre>Let the time taken to complete the second leg, be T
Then the time taken to complete the first leg = T - 1
We then get the following SPEED equation: {{{matrix(1,3, 480/T, "=", 560/(T + 1))}}}
{{{matrix(1,3, 6/T, "=", 7/(T + 1))}}} ----- Factoring out GCF, 80, in numerator
7T = 6(T + 1) ------ Cross-multiplying
7T = 6T + 6
7T - 6T = 6
Time taken to complete second leg, or {{{highlight_green(matrix(1,3, T, "=", highlight(matrix(1,2, 6, hours))))}}}