To find out what part of the field Roni would mow, we need to calculate the proportion of time she is working compared to Allie.
Roni's rate of mowing is 1/30 of the field per minute, while Allie's rate is 1/75 of the field per minute.
When they work together, their combined rate is 1/30 + 1/75 = 1/20 of the field per minute.
This means Roni is doing 1/20 - 1/30 = 1/60 of the field per minute on her own.
Since Roni is doing 1/60 of the field per minute and Allie is doing 1/75 of the field per minute, the proportion of the field that Roni would mow is 1/60 divided by 1/60 + 1/75 = 5/8 = 0.625 or 0.64 of the field.
Therefore, Roni would mow about 0.64 of the field.
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
about 0.52 of the field
about 0.64 of the field
about 0.71 of the field
about 0.87 of the field
1 answer