<PRE><B>Question 271105</B>
When Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20 minutes.
 Find the distance Fritz travels to work if the train travels an average of 32 miles per hour faster than his driving.
:
Let d = the distance to work
:
Convert to hrs
36/60 = .6 hrs
20/60 = .33 hrs
:
Write a speed equation, speed = dist/time
:
train speed - drive speed = 32
{{{d/.33}}} - {{{d/.6}}} = 32
multiply by 3 to get rid of the denominators, results
9d - 5d = 96
4d = 96
d = {{{96/4}}}
d = 24 miles
:
:
Check solution by finding the difference in speed
24/.33 = 72 mph
24/.6 = 40 mph
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diff: = 32 mph</PRE>