Question

Jason runs 440 yards in 75 seconds. at this rate, how many minutes does it take him to run a mile?
(1 mille= 1,760

Answer 1

Given:

Jason runs 440 yards in 75 seconds

To find:

At this rate, how many minutes does it take him to run a mile?

Solution:

We have,

$\boxed{\bold{1 \:mile = 1760\: yards}}$

$\boxed{\bold{1\:min = 60 \:sec}}$

∴ The distance run by Jason = 440 yards = $\frac{440}{1760}$ mile = 0.25 miles

and

The time taken by Jason to run the given distance = 75 s = $\frac{75}{60}$ min = 1.25 min

To calculate the speed of Jason we will use the following formula:

$\boxed{\bold{Speed \: = \:\frac{Distance}{Time} }}$

By substituting the given values in the formula above, we get

∴ Speed = $\frac{0.25\:miles}{1.25\:min} = 0.2\:miles/min$

Now, by using the unitary method, we get

If Jason runs 0.2 miles in 1 minute

Then, Jason will run 1 mile in = $\frac{1}{0.2} = \frac{10}{2} = \bold{5\:minutes}$

Thus, at the same rate, Jason takes 5 minutes to run a mile.

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