Question

The airport administration did a study and found that an additional 5-minute delay in the overall operation of the airport is caused for every 32 passengers that are late for their flights. What is the delay in the overall operation if there are 832 passengers late for their flights?

a) 130 minutes
b) 150 minutes
c) 160 minutes
d) 170 minutes

Answer 1

The overall operation delay caused by 832 late passengers at the airport is calculated using a ratio provided by the airport administration. The delay is found to be 130 minutes after setting up the proportion and cross-multiplying. Hence, the correct answer is (a) 130 minutes.

Step-by-step explanation:

The question involves calculating the delay in overall airport operation based on the number of late passengers. To find the delay caused by 832 late passengers, we use the ratio provided, which is 5 minutes of delay for every 32 passengers. By setting up a proportion, we can solve for the delay 'd' as follows:

32 passengers : 5 minutes = 832 passengers : d minutes

Cross-multiply and solve for 'd':

(32 * d) = (5 * 832)

d = (5 * 832) / 32

d = 4160 / 32

d = 130 minutes

So the overall operation delay for 832 late passengers is 130 minutes, which corresponds to answer choice (a).