Question 1205336
A cyclist, riding steadily from his hometown, reached his destination in 4.5 h.
He would have taken 45 min less time if he had ridden his bicycle at a speed
faster by 3 km/h. Find the distance from his hometown to his destination.
<pre>
45 minutes = 3/4 hour = 0.75 hour. 0.75  less than 4.5 = 4.5-0.75 = 3.75 hours.

                 Rate | Time  | Distance
At actual speed   r   |  4.5  |  4.5r        
If faster        r+3  |  3.75 |  3.75(r+3)

The distances are the same

4.5r = 3.75(r + 3)
450r = 375(r + 3)
450r = 375r + 1125 
 75r = 1125
   r = 15

Substitute in 4.5r = 4.5(15) = 67.5 km.

Edwin</pre>