Alice and Bob commute to UMA.SS Boston together together, parking at the Bayside

Question

Alice and Bob commute to UMA.SS Boston together together, parking at the Bayside lot. Bob thinks it is faster to take the bus from Bayside to the campus. Alice is convinced that it is better to walk. They decide to do an experiment. For three weeks Alice walks and Bob takes the Bus and they record the time it takes for them to get from their car to the Beacon's lot bus stop. Their Data is below. Who is right Alice or Bob? Working from the data, explain why. They ran the experiment for three weeks. At what point in the experiment could they have answered the question Definitively? Explain your reasoning. They both have a 10 o'clock class? What is the latest time that they need to be parked at Bayside to ensure that they are never late for class? Should they walk or ride? Please explain your answer.

Explanation / Answer

alice avg walkung time = 166.9 / 15 = 11.12 min
bobs avg time of bus ride = 134.76/15 = 8.994 mins

1) bob covers the distance faster as is clear from the average time taken by the bus
2) from data after 6th day they could have answered the question definatively, as after 6th day the bob avg time 10.6 min which was lesser than the time alice usually took to travel.
3) in order for them to not get late for class, they should be roughly 12 mins at car parking lt and should walk to class in order t never get late .
the bus as clear from data can be late and may take up 13 mins or more but walking time remained lesser than 12 always, irrespective of day .

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