Time for a bagel?
On Monday, Dan leaves his house at 8:10 AM and bikes to the office, which is 7 miles away. He is able to bike at a constant speed of 10.5 mph.
On Tuesday, Dan feels lazy and decides to take the 8:16AM train to work. The train takes 13 minutes to reach the Palo Alto stop, and then it takes Dan 5 minutes to walk to work. How much time (in minutes) does he have to grab a bagel, if he wants to get to work as the same time as he did on Monday?
The answer is 16.
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1 solution
On Monday, Dan takes 1 0 . 5 7 hours to bike to work. This is equal to 40 minutes, hence he reaches work at 8 : 5 0 .
On Tuesday, when he boards the 8:16 AM train, he has 5 0 − 1 6 = 3 4 minutes to complete his journey. He spends 13 minutes on the train and 5 minutes to walk, hence he has 3 4 − 1 3 − 5 = 1 6 minutes to grab his bagel.