Question 1025328

Liz and Jose rode their bikes into the country at a rate of 12 miles per hour. They return on the same path but are now tired, they slow down and maintain a speed of 8 miles per hour. If their whole ride took 10 hours how much distance did they cover?
<pre>Let distance each way be D
Then time taken on outbound trip = {{{D/12}}}, and time taken on return trip = {{{D/8}}}
The following TIME equation is thus formed: {{{D/12 + D/8 = 10}}}
2D + 3D = 240 -------- Multiplying by LCD, 24
5D = 240
D, or distance, one-way = {{{240/5}}}, or 48 miles
Total distance covered: 2(48), or {{{highlight_green(96)}}} miles