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snow_tiger [21]
2 years ago
11

A water hose had filled up 1⁄3 of a pool after 1⁄2 of an hour. At this rate, how many hours would it take to fill the pool?

Mathematics
2 answers:
Vlad1618 [11]2 years ago
3 0

\huge{ \rm{Question:}}

A water hose had filled up 1⁄3 of a pool after 1⁄2 of an hour. At this rate, how many hours would it take to fill the pool?

\huge{ \rm{Answer:}}

It takes 1.5 hours or 1 hour and 30 min. to fill the pool.

Step-by-step explanation:

ValentinkaMS [17]2 years ago
3 0
The answer is 1.5 hours because you have to multiply 1/2 by 3 since you’re working with thirds. For example, if the water hose only filled up 1/6 of the pool you would multiply 1/2 by 6.
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What is the unit rate?   60:1

What is the rate?          60 jumping jacks per minute

===================================================

Further Explanation:

To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.

--------

Once we have 120:2, we divide both parts by 2 to get 60:1

120/2 = 60

2/2 = 1

The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"

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Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.

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