Ben was walking in Manhattan at a constant speed. He went along 5th avenue from 4th to 98th street. At 3:00 he was on 15th street, and at 4:30 he was on 45th street. When did he start and when did he finish his walk?

Rosemary Chase

Rosemary Chase

Answered question

2022-11-19

Ben was walking in Manhattan at a constant speed. He went along 5th avenue from 4th to 98th street. At 3:00 he was on 15th street, and at 4:30 he was on 45th street. When did he start and when did he finish his walk?

Answer & Explanation

Maffei2el

Maffei2el

Beginner2022-11-20Added 20 answers

Ben was walking at a constant speed, and we know it took him 1 1 2 hours to go the 30 blocks between 15th and 45th streets. 1 1 2 hours = 90 minutes and 90 ÷ 30 = 3 , so he was walking at a pace of 3 minutes per block. He started at 4th Street, which is 11 blocks before 15th Street. 11 3 = 33 , so we subtract 33 minutes from 3:00 to determine the start time of 2:27. The distance between 45th Street and 98th Street is 53 blocks. 53 3 = 159 . 159 minutes is 2 hours and 39 minutes. If we add that to the time of 4:30 (which is when he reached 45th Street), we get 7:09 as his finish time.

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