Ravi is putting up a fence in his backyard. He builds 3 units the first day, 7 units the second day and 11 units the third day. If he continues this pattern, how many days will it take him to finish the 55 unit fence?
Each day he puts up 4 more units than the day before.
By the third day he's put up 21 units.
4th day = 15 units = total 36 units
5th day = 19 units = total = 55 units
To solve this problem, we need to determine how many days it will take Ravi to finish a 55 unit fence, based on his pattern of progress.
We notice that Ravi is building 3 units on the first day, 7 units on the second day, and 11 units on the third day. We can observe that each day, the number of units he is building increases by 4.
To find out how many days it will take him to finish a 55 unit fence, we need to find the number of days it takes for the total units built to reach or exceed 55.
Let's calculate the number of units Ravi builds on each day:
Day 1: 3 units
Day 2: 3 + 4 = 7 units
Day 3: 7 + 4 = 11 units
Notice that the pattern is incrementing by 4 units each day.
Now, let's add up the units built each day until we reach at least 55 units:
Day 1: 3 units
Day 2: 3 + 4 = 7 units
Day 3: 7 + 4 = 11 units
Day 4: 11 + 4 = 15 units
Day 5: 15 + 4 = 19 units
Day 6: 19 + 4 = 23 units
Day 7: 23 + 4 = 27 units
Day 8: 27 + 4 = 31 units
Day 9: 31 + 4 = 35 units
Day 10: 35 + 4 = 39 units
Day 11: 39 + 4 = 43 units
Day 12: 43 + 4 = 47 units
Day 13: 47 + 4 = 51 units
Day 14: 51 + 4 = 55 units
Therefore, it will take Ravi 14 days to finish a 55 unit fence based on his pattern of progress.