5 identical taps can fill a tank in 21 minutes.How long will it take 7 such taps to fill the same tank? minutes
Question
5 identical taps can fill a tank in 21 minutes.How long will it take 7 such taps to fill the same tank? minutes
Solution
Step 1: Understand the problem The problem is about the rate at which taps can fill a tank. We know that 5 taps can fill the tank in 21 minutes, and we need to find out how long it would take for 7 taps to fill the same tank.
Step 2: Set up the equation The rate at which the taps fill the tank is inversely proportional to the number of taps. This means that if we increase the number of taps, the time it takes to fill the tank decreases. We can express this relationship with the equation:
5 taps * 21 minutes = 7 taps * x minutes
Step 3: Solve for x To solve for x, we can divide both sides of the equation by 7 taps:
(5 taps * 21 minutes) / 7 taps = x minutes
Step 4: Simplify the equation 105 minutes / 7 = x minutes
Step 5: Solve for x x = 15 minutes
So, it would take 7 taps 15 minutes to fill the tank.
Similar Questions
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.
The figure shows Tap A, Tap B and an empty tank. Tap A can fill the empty tank in 12 minutes and Tap B can fill the empty tank in 6 minutes. Both taps are turned on at the same time. How long will it take for both taps to fill up the whole tank together?
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
Tap A, B and C can fill a tank in 16 hours, 12 hours and 20 hours respectively. The three taps are opened alternately for 1 hour each, starting with tap A at 7 am, B at 8 am and so on. At what time will the tank get filled?
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
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.