Question

Monica swims the 200, 400, and 1,000 meter freestyle swimming events. At the last swimming meet she swam the 200m in 1 minute 4 seconds, 400m in 2 minutes 31 seconds, and the 1,000 meter in 7 minutes 11 seconds. What were her average speeds in all these events (meters/second)?

Answer 1

3.125m/s

2.469 m/s

2.320 m/s

Explanation:

Average speed = total distance / total time

60 seconds = 1 minute

Converting minute into second = (1 x 60) + 4 = 64 seconds

(2 x 60) + 31 = 151 seconds

(7 x 60) + 11 = 431 seconds

Average speed = 200 meters / 64 seconds = 3.125m/s

Average speed = 400 meters / 151 seconds = 2.469 m/s

Average speed = 1000 meters / 431 seconds = 2.320 m/s

Answer 2

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Explanation:

The formula for Average speed = Distance/ Time

Monica swims the 200, 400, and 1,000 meter freestyle swimming events.

We are to calculate: average speeds in all these events (meters/second).

At the last swimming meet she swam

For the 200m

Time 1 minute 4 seconds

60 seconds = 1 minutes

Hence, Time = 60 + 4 = 64 seconds.

Average speed = 200m/64 seconds

= 3.125 meters/seconds

For 400m

Time = 2 minutes 31 seconds

1 minute = 60 seconds

2 minutes = 60 × 2 = 120 seconds

Total time = 120 + 31 seconds = 151 seconds

Hence, Speed = 400m/151 seconds

= 2.649 meters per second

For 1,000 meter

Total time = 7 minutes 11 seconds.

1 minute = 60 seconds

7 minutes = 60 × 7 = 420 seconds

Total time = 420 + 11 seconds = 431 seconds

Hence, Speed = 1000m/431 seconds

= 2.3201856148 meters per second

Approximately = 2.320 meters per second

Therefore her speed were

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second