Patrick drives from P to Q at an average speed of
40
mph
. His drive back from Q to P is at an average speed of
45
mph
and takes two minutes less.
How far, in miles, is it from P to Q?
Answers
Given : Patrick drives from P to Q at an average speed of 40 mph
drive back from Q to P is at an average speed of 45 mph and takes two minutes less.
To Find : How far, in miles, is it from P to Q
Solution:
Let Say Distance from P to Q = D miles
Distance = Speed x time
Patrick drives from P to Q at an average speed of 40 mph
=> Time Taken = D/40 hr
=> Time Taken = 60 x D/40 Mins
=> Time Taken = 3D/2 Mins
Patrick drives from Q to P at an average speed of 45 mph
=> Time Taken = D/45 hr
=> Time Taken = 60 x D/45 Mins
=> Time Taken = 4D/3 Mins
takes two minutes less.
=> 4D/3 = 3D/2 - 2
=> 8D = 9D - 12
=> D = 12
12 Miles from P to Q
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