Studdy AI Logo
Math  /  Numbers & Operations

Question4. An airplane boards 16 people every 3 minutes How long would it take to board all 150 nassenaers?

Studdy Solution

STEP 1

Assumptions
1. The airplane boards 16 people every 3 minutes.
2. There are a total of 150 passengers to be boarded.
3. The boarding process is continuous and consistent, without any interruptions.

STEP 2

Determine the number of boarding cycles required to board all 150 passengers. A boarding cycle is defined as the time taken to board 16 people.
Number of cycles=Total passengersPassengers per cycle \text{Number of cycles} = \frac{\text{Total passengers}}{\text{Passengers per cycle}}

STEP 3

Plug in the given values for the total passengers and passengers per cycle to calculate the number of cycles.
Number of cycles=15016 \text{Number of cycles} = \frac{150}{16}

STEP 4

Calculate the number of cycles. Since the number of cycles must be a whole number, round up to the nearest whole number because you cannot board a fraction of a cycle.
Number of cycles=⌈9.375⌉=10 \text{Number of cycles} = \lceil 9.375 \rceil = 10

STEP 5

Now, calculate the total time required to board all passengers by multiplying the number of cycles by the time per cycle.
Total time=Number of cycles×Time per cycle \text{Total time} = \text{Number of cycles} \times \text{Time per cycle}

STEP 6

Plug in the values for the number of cycles and time per cycle to calculate the total time.
Total time=10×3 minutes \text{Total time} = 10 \times 3 \, \text{minutes}

STEP 7

Calculate the total time required to board all passengers.
Total time=30 minutes \text{Total time} = 30 \, \text{minutes}
It would take 30 minutes to board all 150 passengers.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord