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Problem #1. A hydrologist (a big coffee drinker) has a 300 mL mug that he fills with his best "joe"


morning. Empty to start, he carefully pours coffee into the mug from a carafe at a constant rate of 50

mL/sec. Then, he allows the coffee to cool for exactly 3 minutes. Then, he drinks the coffee at an average

rate of 25 mL/min. As soon as the mug is empty, he waits exactly 5 minutes, then repeats the filling, cooling,

and coffee‐drinking process.

a) How long does it take for the hydrologist to fill his coffee mug "to the brim"?

b) How much more time does it take for him to cool and drink his first cup of coffee?

c) How long does it take to consume two cups of coffee?

d) Use Excel to draw a graph of the volume (V, mL) of coffee in the mug vs. time and another graph

showing dV/dt for the entire time period.

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dVdt  vs  t  (ortegalugo).png

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