At a football stadium it takes 1 hour for the spectators to get in if 6 gates are used. How long will it take them to get in of 3 gates are opened. Solve this problem by numbers maths problem
If it takes 1 hour for the spectators to get in with 6 gates open, then we can write:
Time for 1 gate to open = 6 hours
Now, if we only have 3 gates open, we can use the formula:
Time = (Number of gates) x (Time for 1 gate to open)
Time = 3 x 6
Time = 18
Therefore, it would take the spectators 18 hours to get in if only 3 gates are open.
To solve this problem using numbers, we can use the concept of "man-hour," which represents the work done by one person in one hour.
Given that it takes 1 hour for spectators to get in when 6 gates are used, this means that each gate allows spectators to enter in 1/6th of an hour.
So, let's calculate the total number of man-hours needed to get all the spectators inside the stadium when 6 gates are opened:
Total man-hours = 1 hour per gate * 6 gates = 6 man-hours
Now, we are asked to find out how long it will take if only 3 gates are opened. Let's calculate the time in hours:
Time = Total man-hours / Number of gates
Time = 6 man-hours / 3 gates = 2 hours
Therefore, it will take 2 hours for the spectators to get in if only 3 gates are opened.