Question 1157786
<br>
Let d be the distance.<br>
Time at 60km/hr = d/60
Time at 55km/hr = d/55<br>
The time at 60km/hr is 10 minutes = 1/6 hour less than at 55km/hr:<br>
{{{d/60 = d/55-1/6}}}<br>
Multiply by the least common denominator, 660<br>
{{{11d = 12d-110}}}
{{{d = 110}}}<br>
ANSWER: The distance is 110km, or 110,000 meters.<br>
CHECK:
110km at 60km/hr = 110/60 = 11/6 hours = 1 hour 50 minutes
110km at 55km/hr = 110/55 = 2 hours<br>