Adam and beth each drove from smallville to crown city by different routes. adam drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. beth's route was 5 miles longer, and it took her 20 minutes more than adam to complete the trip. how many miles per hour was beth's average speed on this trip?

Adam's average speed = 40 miles per hr

time for the trip = 30 minutes = 0.5 hrs

Distance travelled by adam = speed * time = 40 * 0.5 = 20 miles

Distance travelled by Beth is 5 miles longer means 20 + 5 = 25 miles

Time took by Beth is 20 minutes more means = 30 + 20 = 50 minutes = 0.83 hrs

Average speed of Beth = distance / time = 25 / 0.8333

Average speed of Beth = 30 miles : Answer

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