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How much time will it take for a sprinkler to water the entire lawn if it waters 1/6 of the lawn in 1/4 hour?

User Pelican
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1 Answer

1 vote

Final answer:

To water the entire lawn, it will take 1.5 hours since the sprinkler waters 1/6 of the lawn in 1/4 hour and by multiplying this by 6, we get the total time needed for the whole area.

Step-by-step explanation:

If a sprinkler waters 1/6 of the lawn in 1/4 hour, to calculate the time needed to water the entire lawn, we assume the sprinkler works at a constant rate. Therefore, if it takes 1/4 hour to water 1/6 of the lawn, then it would take six times that amount of time to water the whole lawn, since 6 * (1/6) equals 1, representing the whole lawn.

To find the total time, we simply multiply 1/4 hour by 6:

  1. (1/4 hour) * 6 = 6/4 hours
  2. 6/4 hours can be simplified to 3/2 hours or 1.5 hours.

So, it will take 1.5 hours for the sprinkler to water the entire lawn.

User Josh Earl
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8.6k points
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