Two planes leave an airport traveling in opposite directions. One plane travels at 540 kilometers per hour and the other at 520

Question

Vera_Pavlovna [14]

2 years ago

12

Two planes leave an airport traveling in opposite directions. One plane travels at 540 kilometers per hour and the other at 520

kilometers per hour. How long will it take them to be 2650 kilometers apart?

Mathematics

2 answers:

Daniel [21] · Answer 1 · 2023-10-19T07:27:59+03:00

<h3>Answer: 2.5 hours</h3>

This is equivalent to 2 hours, 30 minutes

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Explanation:

x = number of hours

Let's say we have two plans A and B. Plane A travels 540 km/hr and let's make it travel eastward. Plane B would travel the opposite direction (west) at 520 km/hr.

After x hours, plane A travels 540x kilometers. Plane B travels 520x km after the same amount of time, since it takes off at the same time plane A does.

In total, the distance between the two planes after x hours is 540x+520x = 1060x kilometers.

Set this equal to 2650 and solve for x

1060x = 2650

1060/1060 = 2650/1060 ... divide both sides by 1060

x = 2.5

It takes 2.5 hours for the two planes to be 2650 km apart.

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side note:

2.5 hrs = 2 hrs + 0.5 hrs

2.5 hrs = 2 hrs + (0.5 hrs)*(60 min/1 hr)

2.5 hrs = 2 hrs + 30 min

2.5 hrs = 2 hrs, 30 min