3/10 of a wall was completed on day 1 4 by 14 of the wall was completed on date 2 3 by 15 of the wall was completed on day 3 and the remaining on day 4 if the total length of the wall is 513 ⅓ find
(i) what part of the wall was constructed on day 4
(ii) how many metres of the wall was constructed on day 4?

Question

Answer

Understanding the Wall Completion
To determine the part of the wall constructed on day 4 and how many meters were built, we first need to calculate the total amount completed over the first three days.
1. Total Length of the Wall
- The total length of the wall is 513 ⅓ meters, which can be converted to an improper fraction:
- 513 ⅓ = 1540/3 meters.
2. Work Done on Each Day
- Day 1:
- Completed 3/10 of the wall.
- Work done = (3/10) * (1540/3) = 154 meters.
- Day 2:
- Completed 4/14 of the wall.
- Simplifying gives 2/7.
- Work done = (2/7) * (1540/3) = 220 meters.
- Day 3:
- Completed 3/15 of the wall.
- Simplifying gives 1/5.
- Work done = (1/5) * (1540/3) = 102.67 meters.
3. Total Work Done in Three Days
- Adding the work done:
- Day 1: 154 meters
- Day 2: 220 meters
- Day 3: 102.67 meters
- Total Work Done: 154 + 220 + 102.67 = 476.67 meters.
4. Work Remaining for Day 4
- Total wall length: 513 ⅓ meters = 1540/3 meters.
- Work remaining = Total length - Work done in three days:
- Remaining = (1540/3) - (476.67) = 36.67 meters.
Final Results
- Part of the Wall Constructed on Day 4:
- The part of the wall completed on Day 4 is 36.67 meters.
- Meters Constructed on Day 4:
- The total meters of the wall constructed on Day 4 is also 36.67 meters.
This concludes the calculations for the wall's completion!

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