Kay rode his bike from his home to Daniels and walked back h

Kay rode his bike from his home to Daniels and walked back home. The total travel time was 45 minutes. If Kay average 20 mph on the bike and 4 mph walking, how far does Daniel live from Kay.

Solution

Bike DATA:
rate = 20 mph ; distance = x miles ; time = d/r = x/20 hrs.
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Walking DATA:
rate = 4 mph ; distance = x miles ; time = d/r = x/4 hrs.
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Equation:
time + time = 3/4 hr.
x/20 + x/4 = 3/4
x + 5x = 15
6x = 15
x = 5/2 = 2.5 miles (distance from Kay\'s house to Daniel\'s)