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Sagot :
Answer:
0.06 h or 3.6 minutes
Explanation:
First convert 3000 meters to kilometers, because speed is also in that unit (km/h)
distance: [tex]s = 3000 m = 3 km[/tex]
speed: [tex]v = 50 km/h[/tex]
time: [tex]t = \frac{s}{v}[/tex]
Substitute in and solve:
[tex]t = \frac{3 km}{50 \frac{km}{h} }[/tex]
[tex]t = \frac{3}{50} h[/tex]
[tex]t = 0.06 h[/tex] or [tex]3.6 min[/tex] (0.06 h * 60 min/h)
Suppose we know the formula of speed:
[tex]\displaystyle{v=\dfrac{s}{t}}[/tex]
Where v = speed, s = distance and t = time.
We can solve the equation for time by first multiplying both sides by t:
[tex]\displaystyle{v\cdot t = \dfrac{s}{t} \cdot t}\\\\\displaystyle{vt = s}[/tex]
This results in distance equation but that’s not what we want for now. Divide both sides by v:
[tex]\displaystyle{\dfrac{vt}{v}=\dfrac{s}{v}}\\\\\displaystyle{t=\dfrac{s}{v}}[/tex]
Finally, we have the time equation as shown above.
From the question, we know that v (speed) = 50 km/h and s (distance) = 3000 meters. However, since speed and distance both have different unit, we will have to change from meters to kilometers.
We know that a kilometer equals 1000 meters. Therefore, 3000 meters equal to 3 kilometers. Therefore, our new value of distance (s) is 3 kilometers.
Apply the time equation by substituting v = 50 and s = 3:
[tex]\displaystyle{t=\dfrac{3 \ \, \sf{km}}{50 \ \, \sf{km/h}}}\\\\ \displaystyle{t=\dfrac{3\cdot 2 \ \, \sf{km}}{50\cdot 2 \ \, \sf{km/h}}}\\\\\displaystyle{t=\dfrac{6 \ \, \sf{km}}{100 \ \, \sf{km/h}}}\\\\\displaystyle{t=0.06 \ \, \sf{h}}[/tex]
Generally, time must be in second unit. Therefore, we’ll convert from hour to second.
We know that an hour equals to 60 minutes and a minute equals to 60 seconds. Therefore, an hour equals to 60 x 60 seconds = 3600 seconds.
Thus, 0.06 hour will equal to 3600 x 0.06 which equals to 216 seconds. Therefore, it’ll take 216 seconds to reach the destination.
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