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:
- (1/4 hour) * 6 = 6/4 hours
- 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.