Question 1199336
Both the van and the bus left from x at the same time.  They do not pass each other.



Did you REALLY mean this way?
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Town x and town y are 560km apart. At 11am a van leaves x for y travelling at a constant speed. At the same time a bus <b>leaves y for x</b> travelling at a constant speed. The two pass each other at 1.20pm . The average speed of the van is 60km per hour faster than the bus.
Find the vans average speed. How far is the bus from x when it passes the van.
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If one is going toward the other starting from the two separate towns, and ONLY IF so, then
<pre>
van travels from x to y
bus travels from y to x

         SPEEDS           TIMES             DISTANCE

VAN       v               {{{2&1/3}}}           {{{(7/3)v}}}

BUS       v-60            {{{2&1/3}}}           {{{(7/3)(v-60)}}}

TOTAL                                  560
</pre>
{{{(7/3)(v+(v-60))=560}}}

{{{(1/3)(2v-60)=80}}}

{{{2v-60=240}}}

{{{v-30=120}}}

{{{highlight(150)}}}{{{kilometers/hour}}}-------speed of the van

{{{highlight(90)}}}-----------------speed of the bus



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