Physics

Help with this please. No idea.

Except for a 22.00 min. rest stop, Emily drives with a constant velocity of 89.5 km/hr north. How long does the trip take if Emily's average velocity is 77.8 km/hr north?

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  1. t = actual time racing along the road
    22/60 = .367 hour
    tend - tbegin = (t +.367)hr
    and
    d/(t+.367) = 77.8
    but
    d/t 89.5
    so
    d = 89.5 t
    and
    89.5 t/(t+.367) = 77.8
    89.5 t = 77.8 t + 28.5
    t = 2.438 hr driving
    t+ .367 = 2.805 hr
    = 2 hours and 49 minutes

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