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At 60 kilometers per hour it takes Lupita 10 hours to travel from her house to their house in the province. How long will it take her if she travels at 80 kilometers an hour?

Question

At 60 kilometers per hour it takes Lupita 10 hours to travel from her house to their house in the province. How long will it take her if she travels at 80 kilometers an hour?

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Solution

To find out how long it will take Lupita to travel at 80 kilometers per hour, we can use the formula:

Time = Distance / Speed

We know that the distance between Lupita's house and their house in the province is the same, regardless of the speed. Let's assume this distance is D kilometers.

At 60 kilometers per hour, it takes Lupita 10 hours to travel this distance. So, we can write the equation:

10 = D / 60

To find out how long it will take her to travel at 80 kilometers per hour, we need to solve for D in the equation above. We can then use this value of D to calculate the time using the formula:

Time = D / 80

Let's solve for D first:

10 = D / 60 D = 10 * 60 D = 600 kilometers

Now, we can calculate the time it will take Lupita to travel at 80 kilometers per hour:

Time = D / 80 Time = 600 / 80 Time = 7.5 hours

Therefore, it will take Lupita 7.5 hours to travel from her house to their house in the province if she travels at 80 kilometers per hour.

This problem has been solved

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