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a train is travelling at a speed of 90 miles per hour. the driver of the train plans on maintaining this speed for the next 120 miles, plus or minutes 15 miles. find the minimum and maximum numbers of hours the train will travel at that speed.

Sagot :

The minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5

How to find the minimum and maximum numbers of hours the train will travel at that speed?

The given parameters are

Speed = 90 miles per hour

Current speed = next 120 miles, plus or minutes 15 miles.

Let the time travelled be x

So, we have the following equation

Speed * Time = Distance

This gives

|90x - 120| =15

Remove absolute bracket

90x - 120 = ±15

Add 120 to both sides

90x = 120 ±15

This gives

90x = (120 - 15, 120 + 15)

Evaluate

90x = (105, 135)

Divide by 90

x = (1.17, 1.5)

Hence, the minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5

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