3 events last together 240 days. Event A last as many seconds as event B in minutes, and event A last as many hours and event C in days. How long does event C last in days? Choose the correct answer:  A) 170 days  B) 40 days  C) 204 days  D) 68 days  E) 60 days
Let c be C’s duration in days. If b is B’s duration in days, then B lasts 1440b minutes. If a is A’s duration in days, then A lasts 86,400a seconds. Thus,
86,400a = 1440b
Since A is 24a hours long,
24a = c
Since A, B and C last together 240 days, a + b + c = 240 days.
The above system of 3 equations in 3 unknowns (a, b and c) can be solved as follows:
c / 24 + 3600c / 1440 + c = 240 or
60c + 3600c +1440c = 345,600 or
c = 345,600 / 5100 = 68 days
Answer = 68 days
<result>D</result>
3 events last together 240 days. Event A last as many seconds as event B in minutes, and event A last as many hours and event C in days. How long does event C last in days?