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Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1.61 km, how much time will the trip take (to the nearest hour)? 13 hours 21 hours 29 hours 34 hours

Respuesta :

JeanaShupp

Answer: 13 hours

Step-by-step explanation:

Given : Average speed = 55 miles per hour.

Distance : [tex]d=1150\ km[/tex]

Since ,  A mile = 1.61 km

Then, Distance ( in miles): [tex]d=\dfrac{1150}{1.61}=714.285714286\approx714.29\text{ miles}[/tex]

Formula for Time :

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}\\\\\Rightarrow\ \text{Time}=\dfrac{714.29}{55}\\\\\Rightarrow\ \text{Time}=12.9870909091\approx13\text{ hours}[/tex]

Hence, the trip will take approximately 13 hours .

Ondinne

Answer:

13 hours

Step-by-step explanation:

1. Convert the miles to kilometers.

[tex]55\frac{miles}{hour}*\frac{1.61km}{1mile}=  88.55\frac{km}{hour}[/tex]

2. Calculate how many hours Sarah spends travelling the distance of 1150 knowing that she spends 1 hour covering 88.55 kilometers.

[tex]1150km*\frac{1h}{88.55km}=12.98hours[/tex]

3. Rounding to the nearest hour the trip take 13 hours to be covered.

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