. A mine workers' transport vehicle can carry 36 workers. All workers need to be transported to the mine daily across a 90 minutes period: 6.30-8.00 in the morning, and 4.00-5.30 in the afternoon. The round trip takes 15 minutes. If 1134 workers need to be transported every day, morning and evening, how many vehicles would be required assuming the mine vehicles are the only option for workers to get to the worksite?
well, round trip is just part...what about loading/unloading time? Assuming 2.5 min to load 36 passengers, assuming none trips.. each vehicle can make 90/20=4 trips (if you assume a silly zero time to load and unload, 5 trips.
1134/36=32 trips
number cars=32trips/4 trips/car
= 8 cars.
Frankly, 2.5 min to unload or load 36 people is probably wishful thinking...
and, no car never in the shop? I would plan on 9 vehicles if I were in charge.
Can you please explain more why you’ve used 20 for the calculation of 4 trips. Thanks
20 min per trip :(15 min + 2.5 load+2.5min unload=20min
Thank you
To find out how many vehicles would be required to transport 1134 workers every day, we need to first calculate the number of trips needed to transport all the workers.
Given that each round trip takes 15 minutes, and there are 90 minutes available in each transport period (morning and afternoon), we can divide the total transport time by the round trip time to find the number of trips possible:
Number of trips = (Transport period time) / (Round trip time) = 90 minutes / 15 minutes = 6 trips
Since each trip can carry 36 workers, the total number of workers that can be transported in each transport period is:
Number of workers per transport period = (Number of trips) * (Number of workers per trip) = 6 trips * 36 workers/trip = 216 workers
Now, to find out how many vehicles are required, we divide the total number of workers by the number of workers that can be transported in each transport period:
Number of vehicles required = (Total number of workers) / (Number of workers per transport period) = 1134 workers / 216 workers = 5.25
Since we cannot have a fraction of a vehicle, we need to round up to the nearest whole number. Therefore, we would need 6 vehicles to transport 1134 workers every day.
In summary, assuming the mine vehicles are the only option for workers to get to the worksite, 6 vehicles would be required to transport 1134 workers daily.