Question

Three roads lead into a stadium's parking areas. Each road has four lanes, two in each direction, with a capacity of 1,000 vehicles per lane per hour. If 10,000 vehicles are expected for a game, how long will it take for all of them to enter the parking areas?

Answer 1

It would take approximately 50 minutes for 10,000 vehicles to enter the stadium's parking areas, given the total vehicle capacity of 12,000 vehicles per hour across all lanes and roads leading to the parking.

Step-by-step explanation:

To find out how long it will take for all 10,000 vehicles to enter the parking areas, we first need to calculate the total vehicle capacity per hour. Since each of the three roads has four lanes and each lane can handle 1,000 vehicles per hour, we can calculate the hourly capacity by multiplying 3 roads by 4 lanes by 1,000 vehicles, which equals 12,000 vehicles per hour (3 * 4 * 1,000).

To determine how long it will take for 10,000 vehicles to enter, we divide the total number of expected vehicles by the total vehicle capacity per hour. Thus, we have 10,000 vehicles divided by 12,000 vehicles per hour, which equals approximately 0.833 hours or 50 minutes (10,000 / 12,000).

Therefore, it would take approximately 50 minutes for all 10,000 vehicles to enter the stadium's parking areas, provided the traffic flows at the maximum capacity continuously without any interruptions.