RES
Town Q and Town P were 119 km apart. Van drove from
Town Q to Town P at an average speed of 70 km/h. How
much sooner would he have arrived at Town P if he had
travelled at an average speed of 85 km/h instead?
min​

Respuesta :

Answer:

18 minutes earlier

Step-by-step explanation:

Given

[tex]Distance =119km[/tex]

[tex]Speed\ 1 = 70km/h[/tex]

[tex]Speed\ 2 = 85km/h[/tex]

Required

Determine how much sooner if traveled at speed 2 instead of speed 1

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Distance}{Speed }[/tex]

For Speed 1

[tex]Time= \frac{119km}{70km/h}[/tex]

[tex]Time= 1.7hr[/tex]

For Speed 2

[tex]Time= \frac{119km}{85km/h}[/tex]

[tex]Time= 1.4hr[/tex]

Calculate the difference

[tex]Difference = 1.7hr - 1.4hr[/tex]

[tex]Difference = 0.3hr[/tex]

Convert to minutes

[tex]Difference = 0.3*60\ min[/tex]

[tex]Difference = 18\ min[/tex]

If traveled at 85km/h, the van will arrive 18 minutes earlier

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