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kotegsom
4 months ago
9

The average length of time that three lawn-service mowers operate on a given day is 930 minutes. None of the mowers operates for

less than 900 minutes. What is the greatest possible length of time any of the mowers operates?A. 990
B. 950
C. 960
D. 900
E. 930
Mathematics
1 answer:
AnnZ [12.3K]4 months ago
3 0

Answer:

The answer is A. 990.

Step-by-step explanation:

To determine the maximum duration that any of the mowers can run.

The three lawn-service mowers have an average operating time of 930 minutes.

Thus, the overall duration for the three lawn mowers is 930\times 30=2790\ minutes.

The shortest time any mower runs is 900 minutes.

To find the longest operating time of any mower:

Let x represent the maximum operating time for any of the mowers.

Since any of the mowers works the longest time.

Consequently, the remaining two mowers operate at the minimum time.

Based on the question:

x+900+900=2790

x+1800=2790

After subtracting 1800 from both sides:

x=2790-1800

x=990.

Thus, the maximum potential operating time for any mower is 990 minutes.

Consequently, the answer is A. 990.

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