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In four days, your family drives 5/7

of a trip. Your rate of travel is the same throughout the trip. The total trip is 1250 miles. In how many more days will you reach your destination?

3 answers

To find out how many more days it will take to reach the destination, we first need to determine how much of the trip has already been completed and how much is left.

  1. Calculate the distance covered in four days: \[ \text{Distance covered} = \frac{5}{7} \times 1250 \text{ miles} \] \[ \text{Distance covered} = \frac{5 \times 1250}{7} = \frac{6250}{7} \approx 892.86 \text{ miles} \]

  2. Calculate the remaining distance to the destination: \[ \text{Remaining distance} = 1250 \text{ miles} - \text{Distance covered} \] \[ \text{Remaining distance} = 1250 - 892.86 \approx 357.14 \text{ miles} \]

  3. Calculate the rate of travel: Since it took 4 days to cover \( \frac{5}{7} \) of the trip, we can find the rate of travel: \[ \text{Rate} = \frac{\text{Distance covered}}{\text{Time}} = \frac{892.86}{4} \approx 223.21 \text{ miles per day} \]

  4. Determine the time required to cover the remaining distance: \[ \text{Time to cover remaining distance} = \frac{\text{Remaining distance}}{\text{Rate}} = \frac{357.14}{223.21} \approx 1.60 \text{ days} \]

  5. Conclusion: Since you can't have a fraction of a day in practical terms, you can round this up to 2 days to account for the entire time required to complete the remaining distance.

Therefore, it will take approximately 2 more days to reach the destination.

Uh...no

Let's break it down more clearly to find the correct answer.

  1. Total Distance of the Trip: 1250 miles

  2. Distance Covered in 4 Days: You have traveled \( \frac{5}{7} \) of the trip in 4 days.

    \[ \text{Distance covered} = \frac{5}{7} \times 1250 = \frac{6250}{7} \approx 892.86 \text{ miles} \]

  3. Remaining Distance: To find the distance left, subtract the distance covered from the total distance:

    \[ \text{Remaining distance} = 1250 - 892.86 \approx 357.14 \text{ miles} \]

  4. Rate of Travel: Find the rate of travel based on the distance covered in 4 days:

    \[ \text{Rate} = \frac{\text{Distance covered}}{\text{Time}} = \frac{892.86}{4} \approx 223.21 \text{ miles per day} \]

  5. Time to Cover Remaining Distance: Now, divide the remaining distance by the rate of travel:

    \[ \text{Time to cover remaining distance} = \frac{\text{Remaining distance}}{\text{Rate}} = \frac{357.14}{223.21} \approx 1.60 \text{ days} \]

    Rounding off, it will take 1.6 days. So if we want a practical answer, you can state it will take approximately 2 days to complete the remaining distance, if you round up.

However, given the nature of the calculation, it should technically take about 1.6 days or specifically 1 day and part of another day. Please let me know where I may have misunderstood your initial question!