Question

Four students participate as a team in a 1000 m wacky relay race. In a wacky

relay race, the students each run a portion of the 1000 m length, but they do not
run equal lengths. Andrea and Billie run 1
8
and 1
5
of the total length, respectively.
Carol runs the average of what Andrea and Billie run. Dana runs the remainder
of the length.
Determine the fraction of the total length that Dana runs.

Answer 1

Answer: 14/40 or 7/20

Step-by-step explanation: We need to set the fraction's denominators equal to each other and their LCM is 40 so Andrea ran 1/8 which =5/40. Billie ran 1/5 which =8/40. 5/40+8/40=13/40/ Carol ran both Andrea's and Billie's length combined so that's another 13/40 = 26/40. The whole length is 40/40 so 40/40-26/40=Dana's length which =14/40 or 7/20