3/10 of a wall was completed on day 1, 4/14 of the wall was completed on day 2, 3/15 of the wall was completed on day 3 and the remaining on day 4, if the total length of wall is 513 1/3m , find.
1. What part of the wall was constructed on day 4?
2. How many meters of wall was constructed on day 4?
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Answer:
1. 3/14ᵗʰ of the wall was constructed on day 4
2. 110 meters of wall were constructed on day 4
Step-by-step explanation:
Let the fraction of wall completed on 4th day be x
1. Since the wall constructed over 4 days was the whole of the wall,
the fraction of wall completed each day will add up to 1.
3/10 + 4/14 + 3/15 + x = 1
x = 1 - 3/10 - 4/14 - 3/15 = 3/14
2. Length of wall constructed on day 4 = 3/14 of 513 ⅓ m = (3/14) * (1540/3) = 110 m
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