Answered

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A few years ago, the legal speed limit on the Turner Turnpike between Tulsa and Oklahoma City was changed from 55.0 mi/h to 75.0 mi/h. How much time was saved on the 86.0 mile trip for someone traveling at the legal speed limit? May I have help solving this?

Sagot :

Given

Speed one:

v1 = 55 mi/h

Speed two:

v2 = 75 mi/h

Distance:

x = 86 mi

Procedure

Let's calculate the times for each of the speeds.

[tex]\begin{gathered} t_1=\frac{x}{v_1} \\ t_1=\frac{86mi}{55mi/h} \\ t_1=1.56h \end{gathered}[/tex][tex]\begin{gathered} t_2=\frac{86mi}{75mi/h} \\ t2=1.14h \end{gathered}[/tex]

Saving time:

[tex]\begin{gathered} t_s=t_1-t_2 \\ t_s=1.56h-1.14h \\ t_s=0.42h \end{gathered}[/tex]

The total time saved is 0.42h (25.2min) by increasing the speed limit.

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