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A car travels 15 1/10 miles in 1/3 of an hour. What is the average speed, in
miles per hour, of the car?

Sagot :

syahbanazacki

Step-by-step explanation:

Miles = 15 1/10

Miles = 151/10 miles

Hour = 1/3 hour

Av = 151/10 miles / 1/3 hour

Av = 151/10 × 3 / 1/3 × 3

Av = 453/10 miles / hour

Av = 45,3 mil / h

Given:-

[tex]\red{➤}\:[/tex][tex]\sf Distance \: travelled \: by \: Car= 15\dfrac{1}{10} miles[/tex]

[tex]\quad\sf =\dfrac{10×15+1}{10}= \dfrac{151}{10} miles[/tex]

[tex]\red{➤}\:[/tex][tex]\sf Time \: taken \: by \: Car= \dfrac{1}{3} \:hours [/tex]

[tex]\\[/tex]

To Find:-

[tex]\orange{☛}\:[/tex][tex]\sf Average \: Speed \: of \:Car, \:in \: miles \: per \: hour [/tex]

[tex]\\[/tex]

Solution:-

[tex]\underline{\tt{Formula\:Applied}}[/tex]

[tex]\green{ \underline { \boxed{ \sf{Speed=\dfrac{Distance \:travelled}{Time \:taken}}}}}[/tex]

[tex]\\[/tex]

[tex]\underline{\tt\pink{Putting \:Values-}}[/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{\frac{151}{10}}{\frac{1}{3}} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{151×3}{10×1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{453}{10} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=45\frac{3}{10} miles \: per \: hour\\\end{gathered} [/tex]

[tex]\boxed{\sf{Speed \:of \: the \: Car = 45\frac{3}{10} miles/hour}}[/tex]

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