Question 1164937
Shivani walks from point A to B at 3 km/h and returns by bicycle at 12 km/h.  Her return journey takes  2.5  hours less than her outward journey.  Find her time for the entire journey.
<pre>Let time spent walking, be T
Then time spent riding = T - 2.5
We then get the following DISTANCE equation: 3T = 12(T - 2.5)
3T = 12T - 30
3T - 12T = - 30
9T = 30
Time spent walking, or {{{matrix(1,5, T, "=", 30/9, 3&1/3, hours)}}}
Time spent cycling: {{{matrix(1,8, 3&1/3 - 2&1/2, "=", 10/3 - 5/2, "=", 20/6 - 15/6, "=", 5/6, hour)}}}
Time taken to cover entire journey: {{{highlight_green(matrix(1,10, 3&1/3 + 5/6, "=", 3&2/6 + 5/6, "=", 3&7/6, "=", 25/6, "=", 4&1/6, hours))}}}