Question 1184529

Kim and tom both cyclic to work from their homes, at the same speed. kim lives 20km away from work, and tom lives only 15km away from work. it takes kim 1 hour more to cycle to work than tom. determine how long tom takes to get to work
<pre>Let time it takes Tom to cycle to work, be T
Then time it takes Kim to cycle to work is: T + 1
Since they travel at the same speed, we then get the following SPEED equation: {{{matrix(1,7, 15/T, "=", 20/(T + 1), highlight("====>"), 3/T, "=", 4/(T + 1))}}}

4T = 3T + 3 ------ Cross-multiplying
4T - 3T = 3
Time it takes Tom to cycle to work, or {{{highlight_green(matrix(1,4, T, "=", 3, hours))}}}</pre>