Question 1071216

Reena rode her skateboard to her uncle's house, 12 miles away. A wheel broke just as she arrived, so Reena borrowed her uncle's bicycle to return home. Traveling by bicycle, she was able to go twice as fast, and returned home in 2 hours less time than it took to go to her uncle's house. How long did it take Reena to get home on the bicycle?
<pre>Let time taken to ride home, be T
Then time taken, by skateboard = T + 2
We then get the following SPEED equation: {{{12/T = 2(12/(T + 2))}}} ======> {{{12/T = 24/(T + 2)}}}
   24T = 12(T + 2) -------- Cross-multiplying
12(2T) = 12(T + 2)______<s>12</s>(2T) = <s>12</s>(T + 2)
    2T = T + 2_____2T - T = 2
Time taken to ride home, or T = {{{highlight_green(matrix(1,2, 2, hours))}}}