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10 May, 00:20

Sebastion swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1,800 laps. what was his average rate in laps per hour?

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  1. 10 May, 03:45
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    He swam 1,800 laps total, in 12 weeks.

    Each week, he swam 1800/12 = 150 laps, in 5 days.

    Each day, he swam 150/5 = 30 laps, in 45 minutes.

    His average time was (30 laps) / (45 minutes)

    = (30/45) (lap/minute)

    = 2/3 lap/minute.

    At that rate, in one hour, he would swim

    (2/3 lap/minute) x (60 minute/hour)

    = (2/3 x 60) (lap/hour) = 40 laps/hour.

    Let's check that:

    (40 lap/hour) x (0.75 hour/day) x (5 day/week) x (12 weeks)

    = (45 x 0.75 x 5 x 12) x (laps) = 1,800 laps yay!
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