Matthew is driving his car to visit a farm. He covers a distance of 112.25 miles in 60 minutes. He visits a friend on the way, and thereafter drives 45 miles at the same speed. He estimates that he took 30 minutes to cover the last distance. Is this a reasonable estimate?

Question

Mathematics

Andres Keller

21 November, 03:41

Matthew is driving his car to visit a farm. He covers a distance of 112.25 miles in 60 minutes. He visits a friend on the way, and thereafter drives 45 miles at the same speed. He estimates that he took 30 minutes to cover the last distance. Is this a reasonable estimate?

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Answers (1)

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Immanuel Glover · Answer 1

Answer: His estimate is not reasonable because the time it took to cover the last distance is 24.1 minutes and it is below his estimate

Step-by-step explanation:

On his way to the farm, he covered a distance of 112.25 miles in 60 minutes.

Speed = distance/time.

So his speed is 112.25/60 = 1.87 miles per hour.

He visits a friend on the way, and thereafter drives 45 miles at the same speed. So he covered 45 miles at a speed of 1.87 miles per minute.

Time taken = distance / speed

Time it took him to cover 45 miles = 45/1.87 = 24.1 minutes