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 Daniel and the traffic

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On a good day (or late in the evening), when there is no traffic, usually it takes Daniel 72 minutes to drive from Gilroy to San Francisco.Yesterday, when there was heavy conjestion, Daniel’s average speed was lower thanusual by 14 miles an hour, and he arrived late by 21 minutes.What is the distance (in miles) between Gilroy and San Francisco? Please answer the question to the nearest 10th of a mile.

 Jan 24, 2021

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d / r = 1.2 hr                         (72 minutes is  1.2 hr)

d = 1.2 r

 

d / (r-14) = 1.55 hr              (72+21 = 93 minutes is 1.55 hr)

 

Sub in d = 1.2r

 

1.2r/(r-14) = 1.55

  solve for r = 62 m/hr

 

62 m/hr * 1.2 hr = 74.4 miles

 Jan 24, 2021

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