how far did the team travel with each stroke?

Question

a rowing team raced over 2000 metres with an average stroke rate of 36 strokes per minute. the race took this team 5 minutes and 20 seconds to complete.

 

what was the average speed in km/h of the team for this 2000 m event?

 

how many strokes did the team make to complete the race?

 

how far did the team travel with each stroke?

Answer 1

"what was the average speed in km/h of the team for this 2000 m event?"

  2000 m / (5 min 20 sec)

  2 km / (5 min 20 sec)        (1000 m = 1 km)

  2 km / (320 sec)               (1 min = 60 sec)

  2 km / (320/3600 hr)        (1 hr = 3600 sec)

  2 * (3600/320) km/hr       (to divide by fraction, invert and multiply)

  22.5 km/hr

 

"how many strokes did the team make to complete the race?"

  (5 min 20 sec)*(36 strokes/min)

  (320 sec)*(36/60 strokes/sec)          [1 min = 60 sec]

  (320)*(36/60) strokes        [note: sec cancel out]

     192 strokes          [note: we could have multiplied (16/3 min)*36 strokes/min]

 

"how far did the team travel with each stroke?"

   (total distance) / (number of strokes)

    2000 m / 192 strokes

     10.4 m/stroke      [rounded]

Answer 2

You just multiply the two numbers together.  You have the volume of a single cell and you are asked to calculate the volume of 2.7x10⁹ cells.  You multiply the volume of a single cell by the number of cells. 

 

The value you should get is 0.01134.  Do put this in scientific notation, you only put 1 digit to the left of the decimal place:

 

1.134x10^-2