82938
AssignmentMultiple Choice

Lesson 1.5: Solving Rate Problems

Question 82938 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

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?

Answer
A
about 0.52 of the field
B
about 0.64 of the field
C
about 0.71 of the field
D
about 0.87 of the field

Explanation

Roni mows at a rate of 1/30 of the field per minute, while Allie mows 1/75 per minute. Working together, their combined rate is 1/30 + 1/75 = 7/150 of the field per minute. Roni’s share of the work is (1/30) ÷ (7/150) = 5/7, or about 0.71, so the answer is C, about 0.71 of the field.

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