Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn 1 sixth d 1 sixth d Mark 1 eighth d 1 eighth d
Answer
A
1 sixth d minus 1 eighth d is equal to 48
B
1 sixth d plus 1 eighth d is equal to 48
C
1 sixth d minus 1 eighth d is equal to 1
D
1 sixth d plus 1 eighth d is equal to 1
Explanation
Kaitlyn builds 1/6 of the shed per day, and Mark builds 1/8 per day. In d days, they build d/6 and d/8 of the shed, respectively. Together they finish one shed, so d/6 + d/8 = 1, which is choice D.
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