At a football stadium it takes one hour for the spectators to get in if 6 gates are used. How long will it take them to get in if 3 gates are opened.Maths problem solve this with numbers
Let's assume that the total number of spectators is 600 (since we don't have any specific number in the problem).
If it takes one hour for the spectators to get in when 6 gates are used, then the number of spectators entering through each gate per hour is:
600/6 = 100 spectators per gate per hour
Now, if we open only 3 gates, the number of spectators entering through each gate per hour will increase to:
100 x 6/3 = 200 spectators per gate per hour
Therefore, it would take the spectators half an hour to get in when only 3 gates are opened:
600/200 = 3 hours
3 hours/2 = 1.5 hours = 90 minutes = 1 hour and 30 minutes
To solve this problem, we need to find the relationship between the number of gates and the time it takes for spectators to get in.
Let's assign some variables:
Let "G" represent the number of gates.
Let "T" represent the time it takes for spectators to get in.
From the given information, we know that:
When G = 6, T = 1 hour.
To find the time it takes for spectators to get in when 3 gates are opened (G = 3), we can use proportions.
We can set up a proportion using the gate and time relationship:
6 gates / 1 hour = 3 gates / T
To solve for T, we can cross multiply and solve for T:
6T = 3 * 1
6T = 3
T = 3/6
T = 0.5 hours
Therefore, when 3 gates are opened, it will take the spectators 0.5 hours (or 30 minutes) to get in.