Question

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?

Answer 1

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 !