Patrick dives 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 take two minutes less. how far in miles is it from p to q?

Answer 1

P and Q are 12 miles far from each other.

Given that

Patrick drives from P to Q at an average speed of 40 mph

Also he drives from Q to P at an average speed of 45 mph

Let "s" be the distance between P and Q in miles.

Let "t" be the time in minutes

There are 60 minutes in 1 hours

By the definition pf average speed we can write that

The speed is given in two situations in miles per hour

Case 1 When average speed = 40 mph

Case 2 When average speed = 45 mph

Given that Patrick takes two minutes less

Solving for "s" from equations (1) and (2) gives us

So we can conclude that P and Q are 12 miles far from each other.