Jane is running on a circular track with a radius of 50 yards. a mile is 1760 yards. what is the least number of complete laps she must run to cover a distance of at least 4 miles?

Jane needs to run 22 laps to cover 4 miles

Solution:

From given question,

Jane is running on a circular track with a radius of 50 yards

Radius = 50 yards

The total distance covered in 1 lap is equal to circumference of circular track

The circumference of circle is given as:

Where, "C" is the circumference and "r" is the radius

Thus one lap is equal to 314 yards

Convert yards to miles

Given that,

1 mile = 1760 yards

Therefore, 314 yards is equal to,

What is the least number of complete laps she must run to cover a distance of at least 4 miles?

In 1 lap, she covers 0.1784 miles

Let "x" be the number of laps needed to cover 4 miles

Therefore,

1 lap = 0.1784 miles

x lap = 4 miles

This forms a proportion and we can solve the sum by cross multiplying

Thus she needs to run 22 laps to cover 4 miles

step-by-step explanation: