Question

John drives a car at a speed of 40 miles per hour. He has already travelled 54 miles. After how many additional hours will he have travelled more than 240 miles?
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7
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5
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6
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4

Answer 1

To find out how many additional hours John needs to drive to travel more than 240 miles, we can follow these steps:

1. **Calculate the total distance he needs to travel**:
\[
\text{Total Distance to Travel} = 240 \text{ miles}
\]

2. **Determine how much distance he has already traveled**:
\[
\text{Distance Already Traveled} = 54 \text{ miles}
\]

3. **Calculate the remaining distance he needs to travel**:
\[
\text{Remaining Distance} = 240 \text{ miles} - 54 \text{ miles} = 186 \text{ miles}
\]

4. **Determine how long it will take to travel the remaining distance at 40 miles per hour**:
Using the formula \( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \):
\[
\text{Time} = \frac{186 \text{ miles}}{40 \text{ miles per hour}} = 4.65 \text{ hours}
\]

Since we want to know when he will have traveled more than 240 miles, we can see that after 4.65 hours, he will reach 240 miles. Since we are looking for whole hours, we round this to 5 hours.

Thus, John will need **5 additional hours** to travel more than 240 miles after the 54 miles he already traveled.

The answer is \( \boxed{5} \).