Joseph ran LaTeX: 2\frac{3}{4}2 3 4 miles in LaTeX: \frac{2}{5}2 5 of an hour. How fast did Lin run in 1 hour? (try to leave your answer in a fraction) Nathaniel ran LaTeX: 8\frac{2}{3}8 2 3 miles in LaTeX: \frac{4}{3}4 3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction) Who ran the fastest, Nathaniel or Joseph?

Nathaniel ran fastest

Step-by-step explanation:

For Joseph

Joseph ran 2 3/4 miles 2 /5 of an hour.

Speed = Distance/Time

Speed = 2 3/4 miles ÷ 2/5 hour

= 11/4 ÷ 2/5

= 11/4 × 5/2

= 55/8 miles/hour or 6.875 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

2/5 hour = 55/8 miles per hour

1 hour = x

Cross Multiply

x = 55/8 ÷ 2/5

x = 55/8 × 5/2

x = 275/16 miles per hour

x = 17 3/16 miles per hour

Nathaniel ran LaTeX: 8 2/3 miles in 4 /3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction)

Speed = Distance/Time

Speed = 8 2/3 miles ÷ 4/3hour

= 26/3 ÷ 4/3

= 26/3 × 3/4

= 26/4 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

4/3 hour = 26/4miles per hour

1 hour = x

Cross Multiply

x = 26/4 ÷ 4/3

x = 26/4 × 3/4

x = 78/16 miles per hour

x = 4 14/16 miles per hour

= 4 7/8 miles per hour

Who ran the fastest, Nathaniel or Joseph?

Hence, from the calculation above, Nathaniel ran fastest

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step-by-step explanation: