Question

a plane is flying at a speed of 200 miles per hour. the pilot plans on flying at this speed for the next 225 miles, plus or minus 50 miles. find the minimum and maximum number of hours the plane will travel at the speed

Answer 1

The minimum and maximum number of hours the plane will travel at that speed are; at least 0.875 hours and at most 1.375 hours

How to Solve Absolute Value Inequality?

We are given that the speed of the plane is 200 miles per hour.

Now, formula for time taken is;

Time = Distance/Speed

If the speed is 225 ± 50 miles, then it means that;

Maximum distance = 275 miles

Minimum distance = 175 miles

Thus, we can say that;

Minimum number of hours = 275/200 = 1.375 hours

Maximum number of hours = 175/200 = 0.875 hours

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