Question

Lucas drives a truck at a speed of 30 miles per hour. He has already travelled 65 miles. After how many additional hours will he have travelled more than 180 miles?
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7
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5
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6
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4

Answer 1

To determine how many additional hours Lucas needs to travel more than 180 miles, we start by calculating how much further he needs to go.

First, we find out how many miles he has left to travel:

\[
\text{Total distance to travel} = 180 \text{ miles}
\]
\[
\text{Distance already travelled} = 65 \text{ miles}
\]
\[
\text{Distance remaining} = 180 \text{ miles} - 65 \text{ miles} = 115 \text{ miles}
\]

Now, we know that Lucas drives at a speed of 30 miles per hour. To find out how many additional hours it will take him to travel 115 miles, we use the formula:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

Substituting the values we have:

\[
\text{Time} = \frac{115 \text{ miles}}{30 \text{ miles per hour}} \approx 3.83 \text{ hours}
\]

Since we are interested in the number of additional hours until he has travelled more than 180 miles, we need to round 3.83 hours to the nearest whole number. He would need to travel for an additional 4 hours (since he cannot travel a fraction of an hour practically in this context).

Thus, after 4 additional hours, he will have travelled more than 180 miles.

The answer is:

**4**