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