Knowee
Questions
Features
Study Tools

The time taken, t minutes, to fill up a bottle is inversely proportional to the rate of waterflow, v mℓ/min. It takes 8 minutes to fill up the bottle when the rate of waterflow is 1305 mℓ/min. Find the time taken to fill up the bottle when the rate of the waterflow is 1044 mℓ/min.

Question

The time taken, t minutes, to fill up a bottle is inversely proportional to the rate of waterflow, v mℓ/min. It takes 8 minutes to fill up the bottle when the rate of waterflow is 1305 mℓ/min. Find the time taken to fill up the bottle when the rate of the waterflow is 1044 mℓ/min.

🧐 Not the exact question you are looking for?Go ask a question

Solution

Given that the time taken, t minutes, to fill up a bottle is inversely proportional to the rate of waterflow, v mℓ/min, we can express this relationship mathematically as:

t = k/v

where k is the constant of variation.

We know that it takes 8 minutes to fill up the bottle when the rate of waterflow is 1305 mℓ/min. We can use this information to find the value of k:

8 = k/1305

Solving for k gives us:

k = 8 * 1305 = 10440

Now that we know the value of k, we can find the time taken to fill up the bottle when the rate of the waterflow is 1044 mℓ/min:

t = 10440/1044 = 10 minutes

So, it would take 10 minutes to fill up the bottle when the rate of the waterflow is 1044 mℓ/min.

This problem has been solved

Similar Questions

It takes Tap A 12 minutes to fill a container measuring 8 cm by 10 cm by 18 cm completely while it takes Tap B 15 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 4 cubic cups of edges 3 cm, filled with water, are poured into the container? Leave your answer in minutes and round off to 2 decimal places.

There are 3 taps, A, B and C, which can fill a tank in 20, 30 and 40 minutes, respectively. The tank has 2 holes, one at the bottom of the tank, and the other at half the height of the tank. The hole at the bottom of the tank can empty it in 120 minutes and the other hole also empties at the same rate. If all the taps are opened, find the time taken to fill the tank. min min min min

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?3 hrs 15 min3 hrs 45 min4 hrs4 hrs 15 min

The empty gas tank of a motor boat is to be filled. The tank is shaped like a rectangular prism with length 25cm, width 24cm, and height 16cm. Suppose gas is pumped into the tank at a rate of 640cm3 per minute. How many minutes does it take to fill the empty tank?minutes

Two water taps together can fill a tank in hours. The tap of the larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time at which each tap can separately fill the tank.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.