<PRE><B>Question 694466</B>
A cyclist training for a distance race starts on a training ride at 7:00am trying to average 20 miles per hour during the ride. At 8:30am his support team leaves from the same place driving their vehicle at a speed of 50 miles per hour, and figures to get to the end of the training ride at the same time the rider does. How long is the training ride?
---------------------
Cyclist DATA:
rate = 20 mph ; distance = x miles ; time = x/20 hrs.
---------------------
Support DATA:
rate = 50 mph ; distance = x miles : time = x/50 hrs
-----
Equation:
cyclist time - support time = 3/2 hrs
----------------------------
x/20 - x/50 = 3/2
-------------------------
5x - 2x = 150
3x = 150
x = 30 miles (training ride distance)
========================================
cheers,
Stan H.
==============================</PRE>