Question

Three roads lead into a stadium's parking areas. Each road has four lanes (two in each direction) with a capacity oftwo parking attendants are required to park cars for each type a lot, while just one can handle each type b lot. Of the ten lots that will be used tonight, six are type a and four are type b. How many parking attendants are required for tonight's event?1,00vehicles/lane/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

Answer:

Number of attendants required are 16.

10000 vehicles will take 8 hours 20 min. to enter the parking area.

Step-by-step explanation:

Attendants required to park cars for each type a lot = 2  

Attendants required to park cars for 6 type a lots = 2×6 = 12

Attendants required to park cars for each type b lot = 1

Attendants required to park cars for 4 type b lot = 4×1 = 4

So, total attendants required are  12+4 = 16.

total number of roads = 3

number of lanes for 1 road = 4

number of lanes for 3 roads = 3×4 = 12

number of vehicles one lane can park = 100 /hour

number of vehicles 12 lanes can park = 12×100 = 1200/hour

So, 1200 vehicles takes parking area for 60 min.

10000 vehicles takes parking area for  $\frac{10000\times 60}{1200}$ min.

                                                               = 500 minutes.

60 min. = 1 hour

500 min. = $\frac{500}{60}$ hours = 8 hours 20 min.

So, 10000 vehicles will take 8 hours 20 min. to enter the parking area.