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Ierofanga [76]
3 years ago
5

Aarav and Bahir are running laps around a 400-meter circular track. They started together and ran in the same direction. Each of

them is running at a constant rate. When Aarav completed the first lap, Bahir was already 100 meters ahead of him. How many laps will Aarav complete by the time Bahir reaches him from behind on the track?
Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

4

Step-by-step explanation:

for every 400 meters aarav runs bahir runs 500

when bahir is at 2000 aarav is at 1600

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Answer: You can drive, at most, 2.95 miles per day.

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Then if C represents the cost of renting the car, then we will have the inequality:

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Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

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Now let's isolate the variable x

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To find other inequalities with the same solution we can start with the solution:

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Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

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Now let's add the same number in both sides, for example, $5.

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We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

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