jamal can run 1 mile im 5.05 minutes . if jamal maintains this pace during a 5 kilometer race he expects to break the course record of 15.25 minutes . is jamals expectation reasonable

Respuesta :

Yes, Jamal expectation is reasonable, because difference = 26.4 seconds is quite a short time. So the expectation is reasonable.

Jamal can run 1 mile in 5.05 minutes.

And expected to run 5 km in 15.25 minutes,

We need to find if this is true.

Therefore, we must determine whether he can genuinely run 5 kilometers in 15.25 minutes.

The relationship between speed, distance and time are,

Speed and time are directly proportional to distance. Also, speed is inversely proportional to time.

Distance = speed * time

So,

We can write,

1 mile = 1609 m

Then,

5 km = 5000 m.

So, 5 km = 5000 m × 1mile/1609 m

5 km = 5000/1609 mile

Also, Jamal runs a mile in 5.05 minutes, so

The time it takes to run 5 km = 5000/1609 mile

So,

We can write,

= 5000/1609 mile × 5.05 minutes/1 mile

= 25,250/1609 minutes

= 15.69 minutes.

Since our calculation shows that Jamal runs a 5 kilometer race in 15.69 minutes,

The expectation that he will break the record in 15.25 minutes is reasonable.

He can only break the record if he runs faster

So,

There is a difference = 15.69 - 15.25 minutes

= 0.44 minutes

= 0.44 × 60

difference = 26.4 seconds

Therefore,

Difference = 26.4 seconds is quite a short time. So the expectation is reasonable.

To learn more about information visit Speed problems :

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