Ji travels from town A to town b in a 3 day period. is he covers 1/5 of the distance on the first day, and 2/7 on the second day, how much distance doesn't the still need to cover

Let's solve this step-by-step.

1. Let the total distance from town A to town B be \( D \).
2. On the first day, Ji covers \( \frac{1}{5} \) of the distance:
   \[
   \text{Distance covered on Day 1} = \frac{1}{5}D
   \]
3. On the second day, he covers \( \frac{2}{7} \) of the distance:
   \[
   \text{Distance covered on Day 2} = \frac{2}{7}D
   \]
4. The total distance covered in the first two days is the sum of these fractions:
   \[
   \text{Total distance covered} = \frac{1}{5}D + \frac{2}{7}D
   \]

5. To add these fractions, we find a common denominator. The least common multiple of 5 and 7 is 35:
   \[
   \frac{1}{5}D = \frac{7}{35}D \quad \text{and} \quad \frac{2}{7}D = \frac{10}{35}D
   \]

6. Now, add these fractions:
   \[
   \frac{7}{35}D + \frac{10}{35}D = \frac{17}{35}D
   \]

7. So, the distance Ji has covered in two days is \( \frac{17}{35} \) of the total distance \( D \).

8. To find the remaining distance, subtract this from the total distance:
   \[
   \text{Remaining distance} = D - \frac{17}{35}D = \left(1 - \frac{17}{35}\right)D = \frac{18}{35}D
   \]

Therefore, Ji still needs to cover \( \frac{18}{35} \) of the total distance \( D \).

Would you like further clarification on any part of this solution?

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### Related Questions
1. What if Ji had covered \( \frac{1}{4} \) of the distance on the first day and \( \frac{3}{8} \) on the second day?
2. How far would Ji have left if he covered half the remaining distance on the third day?
3. If Ji travels at a constant speed each day, what is the average distance covered daily?
4. How much distance would Ji cover if he doubled his daily distance on each subsequent day?
5. If the total distance was 100 km, how many kilometers would remain after the first two days?

**Tip:** To add fractions, always find the least common multiple (LCM) of the denominators.

Ji travels from town A to town B in a 3-day period. If he covers 1/5 of the distance on the first day, and 2/7 on the second day, how much distance does he still need to cover?

Explore how to calculate the remaining distance Ji needs to travel between two towns after covering fractions of the total distance on the first two days. This problem helps with understanding fraction addition and basic arithmetic, suitable for Grades 5-7.

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