Mathematics

Question

if you drive to your spring break destination at a steady 60 miles per hour and Return at a steady 40 miles per hour what is your average speed for the round trip?

1 Answer

  • d = distance to & from spring break destination

    t1 = d/60 = time to get there

    t2 = d/40 = time to get back

    avg speed = (total distance)/(total time)

    = 2d/(d/60+d/40)

    Divide numerator and denominator by d:

    = (2/(1/60 + 1/40))

    Multiply numerator and denominator by 120:

    = 240/(2 + 3)

    = 240/5

    = 480/10

    = 48 mi/hr is the average speed round trip.
    Trentt31
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