A woman works at a law firm in city A which is about 40 miles from city B. She must go to the new law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 50 mph. Use the distance formula, d=rt, where d= Distance traveled, r= rate, and t=time.

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01-09-2021
Mathematics

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A woman works at a law firm in city A which is about 40 miles from city B. She must go to the new law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 50 mph. Use the distance formula, d=rt, where d= Distance traveled, r= rate, and t=time.

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2021-09-06T12:25:26-04:00

The total time taken by the woman to get the document in the round trip is 1.6 hours.

The given parameters;

distance between city A and city B, = 40 miles

the average speed of the woman, v = 50 miles per hour

To find:

the total time taken by the woman during the journey

The total distance of the round trip is calculated as follows;

From A to B = 40 miles

From B back to A = 40 miles

Total distance of the round trip = 40 miles + 40 miles = 80 miles

The average speed of the woman is given as;

[tex]average \ speed \ = \frac{total \ distance }{total \ time } \\\\total \ time = \frac{total \ distance }{average \ speed} \\\\total \ time = \frac{80 \ miles }{50 \ miles/hr} \\\\total \ time = 1.6 \ hours[/tex]

Thus, the total time taken by the woman to get the document in the round trip is 1.6 hours.

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