GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Two hoses are pouring water into an empty pool. Hose 1 alone would fil
[#permalink]
27 Feb 2023, 02:59
27 Feb 2023, 02:59
1
Expert Reply
00:00
Question Stats:
100% (01:02) correct
0% (00:00) wrong based on 1 sessions
Hide Show timer Statistics
Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 4 hours. How long would it take for both hoses to fill up two-thirds of the pool?
Show: ::
1 3/5
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: Two hoses are pouring water into an empty pool. Hose 1 alone would fil
[#permalink]
02 Mar 2023, 00:53
02 Mar 2023, 00:53
1
Expert Reply
Let's start by finding the individual rates at which each hose fills up the pool.
Hose 1 fills the pool in 6 hours, so its filling rate is:
Rate of Hose 1 = 1 pool / 6 hours = 1/6 pools per hour
Similarly, Hose 2 fills the pool in 4 hours, so its filling rate is:
Rate of Hose 2 = 1 pool / 4 hours = 1/4 pools per hour
When both hoses are used together, their filling rates add up. So, the combined filling rate of both hoses is:
Combined rate = Rate of Hose 1 + Rate of Hose 2
Combined rate = 1/6 + 1/4
Combined rate = 5/12 pools per hour
Now, let's determine how long it would take for both hoses to fill two-thirds of the pool. We can use the formula:
Time = Amount of work to be done / Rate of work
Here, the amount of work to be done is 2/3 of the pool, and the rate of work is 5/12 pools per hour. So, we get:
Time = (2/3) / (5/12)
Time = (2/3) * (12/5)
Time = 8/5
Time = 1.6 hours
Therefore, it would take both hoses approximately 1.6 hours (or 1 hour and 36 minutes) to fill up two-thirds of the pool.
Hose 1 fills the pool in 6 hours, so its filling rate is:
Rate of Hose 1 = 1 pool / 6 hours = 1/6 pools per hour
Similarly, Hose 2 fills the pool in 4 hours, so its filling rate is:
Rate of Hose 2 = 1 pool / 4 hours = 1/4 pools per hour
When both hoses are used together, their filling rates add up. So, the combined filling rate of both hoses is:
Combined rate = Rate of Hose 1 + Rate of Hose 2
Combined rate = 1/6 + 1/4
Combined rate = 5/12 pools per hour
Now, let's determine how long it would take for both hoses to fill two-thirds of the pool. We can use the formula:
Time = Amount of work to be done / Rate of work
Here, the amount of work to be done is 2/3 of the pool, and the rate of work is 5/12 pools per hour. So, we get:
Time = (2/3) / (5/12)
Time = (2/3) * (12/5)
Time = 8/5
Time = 1.6 hours
Therefore, it would take both hoses approximately 1.6 hours (or 1 hour and 36 minutes) to fill up two-thirds of the pool.
gmatclubot
Re: Two hoses are pouring water into an empty pool. Hose 1 alone would fil [#permalink]
02 Mar 2023, 00:53
Moderators:
