Question 1184529
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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
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<pre>
Let r be their rate, in kilometers per hour, the same for both.


Kim's time is  {{{20/r}}}  hours;  Tom's time is  {{{15/r}}}  hours.


The difference of times is 1 hour, which gives you this "time" equation


    {{{20/r}}} - {{{15/r}}} = 1   hour.


To solve it, multiply both sides by r.  You will get


    20 - 15 = r

or

      r = 5.


So, their rate is 5 km/h,  the same for both.


Tom's travel time is  15/5 = 3 hours.    <U>ANSWER</U>
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Solved.