Question 1126491
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<pre>
Let "t" be the time biking.


Then the time by car is (t-1.5). It is the time in hours to return back, according to the condition.


Your equation is


    10*t = {{{25*(t-1.5)}}}


saying that the each way distance is the same.


To solve the equation, multiply its both sides by 2. You will get


    20t = 50t - 75


    75 = 50*t - 20*t

    75 = 30*t  ====>  t = {{{75/30}}} = {{{150/60}}} of an hour =  2 hours and 30 minutes.   <U>Answer</U>


<U>Check</U>.  The distance "to there" by the bike = 10*2.5 = 25 miles.

        The distance back  = 25*(2.5-1.5) = 25 miles.   ! Correct !
</pre>

Solved.


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