SOLUTION: Jack and Jill went up the hill at 8 units per minute and came tumbling down the hill at 8 units per second. What was their average speed, in units per minute?

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Question 717920: Jack and Jill went up the hill at 8 units per minute and came tumbling down the hill at 8 units per second. What was their average speed, in units per minute?

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
No clear distance is given, just "up" and "down" the hill. This is some number of units. I'm picking h as this unknown distance for the hill.

Which way__________rate units/min____________time_____________distance
UP___________________8_______________________h/8______________h
DOWN_________________8*60___________________h/(8*60)__________h

Total Distance = 2h
Total Time minutes = h%2F8%2Bh%2F%288%2A60%29

Overall rate = 2h%2F%28h%2F8%2Bh%2F%288%2A60%29%29=2%2F%281%2F8%2B1%2F%288%2A60%29%29
=2%2F%28%2860%2B1%29%2F480%29
=960%2F61=15.7 units per minute.