22. If one is traveling at 55 mi/h, how many meters will one travel in 42.3 minutes?

62396.73 metres

Explanation:

In this question, we have to do some unit conversions in order to accurately solve the problem given here.

To convert from miles per hour to metre per second we use the conversion factor;

1 mile per hour = 0.447 metre per second

Hence, 55 miles per hour= 55 × 0.447 = 24.585 metre per second.

Then we convert 42.3 minutes to seconds.

60 seconds = 1 minute

x seconds =42.3 minutes

x= 60 × 42.3

x= 2538 seconds

Now recall that

Speed = distance/ time

Speed= 24.585 metre per second.

Time= 2538 seconds

Distance= ???

Distance = speed × time

Distance= 24.585 metre per second × 2538 seconds

Distance = 62396.73 metres

62396.73m

Explanation:

Step 1:

Data obtained from the question:

Speed = 55 mi/h

Time = 42.3 mins

Distance =..?

Step 2:

Conversion to appropriate unit.

In this case, we shall convert from mi/h to m/s and also, we shall convert from minute to second.

For the speed:

1 m/h = 0.447m/s

Therefore, 55mi/h = 55 x 0.447 = 24.585m/s

For Time:

1 mins = 60secs

Therefore, 42.3 mins = 42.3 x 60 = 2538 secs.

Step 3:

Determination of the distance travel.

This can be obtained as follow:

Speed = Distance /time

Speed = 24.585/s

Time = 2538 secs

Distance =..?

Distance = speed x time

Distance = 24.585m/s x 2538 secs

Distance = 62396.73m