SOLUTION: Please help me answer this question. "A family drove 45 km then hiked 1 km to their campsite. The trip took 1 hour and 15 min. If they drove 55 km/h faster than they hiked, how fas

Let u be their rate driving (the value under the question).


Then their rate hiking is (u-55) kilometers per hour, according to the condition.


Time to driving 45 km  was   hours.


Time for hiking 1 kilometer was   hours.


The total time was 1 hour 15 minutes =  hours.


So, the "time" equation is


     +  =    hours.


It is your basic equation.


To solve it, multiply both sides by 4u*(u-55), then reduce the obtained quadratic equation to its standard form.


Solve it using the quadratic formula or factoring - whichever method does work.