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Two planes leave an airport the same time and travel in opposite directions. one plane averages 300 miles per hour, and the other plane averages 600 miles per hour. when will they be 2700 miles apart?

2 Answers

4 votes
In 3 hours, the two planes will be 2,700 miles apart.

If in one hour, the planes get 900 miles apart, it will take 3 hours to become 2,700 miles apart.

《----- and -----》 Indicatethe planes moving in opposite directions.

The number indicate the distance traveled.

The amount of times the number is repeated indicates the amount of hours flown (ex.: 50+50+50+50 would indicate 4 hours flown because there are 4 50s in the sequence).

So
《-----300 + 600-----》
=900 miles in one hour

《------300+300 and 600+600-----》
=1,800 miles in 2 hours

《-----300+300+300 and 600+600+600-----》
=2,700 miles in 3 hours
User Shantice
by
6.1k points
3 votes

Answer:

Plane one = 4.5 hours

Plane two = 2.25 hours

Explanation:

We know that speed of plant one to be 300 miles per hour and plane two 600 miles per hour we can determiine the time they will take to be 2700 part. Speed is defined as:


v=d/t

Were v is the velocity, d the distance, t the time

For the the two planes to be 2700 miles apart from the same point they will have travelled half of 2700 miles from that point. Therefore they travel 1350 miles each.

For plane one we can calculate the time from the speed equation:


300=1350/t


t=1350/300=4.5

For plane two:


600=1350/t


t=1350/600=2.25

Plane one will take 4.5 hours and plant two 2.25 hours to be 2700 miles apart

User Zaz
by
6.2k points
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