Finding average speed

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Your must reach from point A to point B in 20 minutes. Distance between the two points in 9.95 miles. 3 miles from point A, there is a tunnel the length of the tunnel is 1.2 miles. Inside the tunnel, you can only go 15 mph and under. What is the average speed you must keep outside of the tunnel in order to reach from point A to point B in 20 minutes?

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Length of tunnel = 1.2 miles. Maximum speed in tunnel = 15mph

If you maintain the maximum speed throughout the tunnel, then it will take 1.2/15 = 0.08 hrs (4.8 mts) to cross the tunnel.

So, time available to travel the remaining 8.75 miles = 15.2 mts

Required average speed outside the tunnel = 8.75 x 60 / 15.2 = 34.539 mph.