Answer: 480
Step-by-step explanation:
To solve this, you need to set up a proportion: 200/2.5 x/6
The 200 represents the km, and the 2.5 and 6 represent the hours. You can either solve this by multiplying 200 by 6 and setting it equal to 2.5 by x then solving for x, or you can find the rate the car travels in km in one hour. To do that, you divide 200 by 2.5 and get 80: this is your km per hour. Then you multiply that to 6 to see how far the car will go in 6 miles if it continues at the speed of 80 km per hour.
Answer:
Answer: 480 km
Step-by-step explanation:
As we know that if we keep speed or velocity constant, distance is directly proportional to time.
• In the first case:
[tex]{ \rm{d_{1} = kt _{1}}}[/tex]
• Substitute the variables with their respective values to find the value of constant, k
[tex]{ \rm{200 = (k \times 2.5)}} \\ \\ { \rm{k = \frac{200}{2.5} }} \\ \\ { \underline{ \rm{ \: \: k = 80 \: km {h}^{ - 1} \: \: }}}[/tex]
• In the second case
[tex]{ \rm{d _{2} = kt _{2} }}[/tex]
[tex]{ \rm{d _{2} = (80 \times 6)}} \\ \\ { \boxed{ \boxed{ \rm{ \: \: d _{2} = 480 \: km \: \: }}}}[/tex]
