Answer:
0.24 Kilometers
Explanation:
♦ To solve this problem, we need to use the formula:
distance= speed * time
♦ We are given that the car traveled 600 meters at a certain speed. Let's call this speed "s" and the time it took to travel 600 meters "t". Then we have:
600= s * t
♦ To find out how many kilometers the car will travel if it travels twice as fast in five times less time, we need to find the new distance.Let's call the new speed "2s" (twice as fast) and the new time "t/5" (five times less time).Then we have:
distance = speed * time
new distance = 2s * (t/5)
♦ To simplify this equation, we can first rewrite "2s" as "s + s", and then distribute the multiplication:
new distance = (s + s) * (t/5) =>
new distance = (s * t/5) + (s * t/5)
♦ We know that s * t = 600, so we can substitute that into the equation:
new distance = (600/5) + (600/5) =>
new distance = 120 + 120=>
new distance = 240 meters
♦ But the question asks for the answer in kilometers, not meters. To convert meters to kilometers, we need to divide by 1000:
new distance = 240/1000 =>
new distance = 0.24 kilometers
Therefore, if the car travels twice as fast in five times less time, it will travel 0.24 kilometers.