Answer:
14 and 2/7 minutes, or 100/7 minutes
Step-by-step explanation:
To begin with, supposed the rate at which Tyler and Kiran are running are variables T and K. We can come up with the equations
30T= 4,200 and
30K= 6,300.
Where 30 is the number of minutes, multiplied by the rate at which they are running to equal the total distance ran. We can isolate the variables by dividing both sides of both equations by 30, resulting in <u>Tyler's</u> speed of 140 meters per minute and <u>Kiran's</u> speed of 210 meters per minute.
We can then plug these values into a final equation where x is the amount of time taken for Kiran to run 1 km more than Tyler
We end up with this: 210x= 140x+1000
Solve first by subtracting 140x from 210x to get 70x, and then divide both sides by 70. This isolates x and you get a <u>final answer of 14 2/7 minutes, or 100/7 minutes</u>
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And sorry I couldn't get this to you in the 5 minutes you needed, but I hope this at least helps you understand the concept :')
