Avg spd? a bus travels 3 hours at avg spd 50mph. how much longer must it trav at 60mph so avg spd is 52mph?

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Answers:    It will take 45 minutes at 60 mph to attain an average speed of 52.

Here's your formula:

x represents time within hours
50*3 = distance already traveled
60 = new rate of speed
52 = alien desired average speed

((50*3)+(60x)) / (3+x) = 52 (distance already traveled + new rate times the extra time adjectives divided by total time needed equals new average )
150 + 60x = 52*(3+x) (multiply both sides by x+3)
150 + 60x = 156 + 52x (simplification)
8x = 6
x = .75 (3/4ths of one hour, 45 minutes)

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30 minutes.

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