it takes Sarah 50 minutes to walk to her friend's house 1 3/4 miles away. What is her walking pace in miles per hour?
50 min = 5/6 hours
1 3/4 miles = 7/4 miles
\(\frac{\frac{7}{4} }{\frac{5}{6} }\) = \(\frac{7}{4} * \frac{6}{5} = \frac{42}{20} = \frac{21}{10} = 2.1\)
Therefore, the walking rate is 2.1 miles per hour
The speed is the distance covered by an object at a particular time. The pace at which Sarah walks in miles per hour is 2.1 or 2 1/10.
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
\(\rm{Speed = \dfrac{Distance}{Time}\)
Given that Sarah it takes Sarah 50 minutes to walk to her friend's house 1 3/4 miles away. Therefore, the time and the distance can be written as,
Disrtance covered by Sarah = 1 3/4 miles = (1×4 + 3)/4 miles = 7/4 miles
Time taken by Sarah = 50 minutes = 50/60 hours
Now, the pace at which Sarah walks in miles per hour can be written as,
Speed = 7/4 miles / 50/60 hours
= (7 × 60)/(4 × 50) miles per hour
= 21/10 miles per hour
= 2 1/10 miles per hour
= 2.1 miles per hour
Hence, the pace at which Sarah walks in miles per hour is 2.1 or 2 1/10.
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