A man once had to go by bicycle twelve miles to the railroad station to catch a train. He

thought: 'I have an hour and a half to catch the train. Four miles is uphill, four miles are

downhill, and four miles is level road. I can go uphill at 4 miles per hour, downhill at 12

miles per hour, and I can go 8 miles per hour on level road. This is an average of 8 miles per

hour, so I'll get there in time.' Was his reasoning correct? Why or why not?

Question

Mathematics

Natalie Krause

25 February, 04:57

A man once had to go by bicycle twelve miles to the railroad station to catch a train. He

thought: 'I have an hour and a half to catch the train. Four miles is uphill, four miles are

downhill, and four miles is level road. I can go uphill at 4 miles per hour, downhill at 12

miles per hour, and I can go 8 miles per hour on level road. This is an average of 8 miles per

hour, so I'll get there in time.' Was his reasoning correct? Why or why not?

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Answers (1)

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Yasmine · Answer 1

no he can not. The four miles are uphill and that takes one hour the miles up are 20 minutes and that can't give him enough time to go the last 4 miles.