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Alexxandr [17]
3 years ago
10

(I WILL MARK AS BRAINLIEST PLS OPEN I RLLY NEED TO KNO PLSSS) a hot air balloon is 10 meters above the ground and rising at a ra

te of 15 meters per minute. another balloon is 150 meters above the ground and descending at a rate of 20 meters per minute. when will the two balloons meet? i really need to know im super confused and also use the either the substitution method or the elimination method to solve this word problem PLSSSSSSSSSSSSSSSSSSSSS
Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0

Answer:

After 4 minutes

Step-by-step explanation:

<u>Balloon 1</u>

  • Initial position = 10 m
  • Rise rate = 15 m/min

<u>Balloon 2</u>

  • Initial position = 150 m
  • Drop rate = 20 m/min

Time required for the balloons to meet = x

<u>After x minutes the first balloon will be at position:</u>

  • 10 + 15x

<u>And the second balloon will be at position:</u>

  • 150 - 20x

<u>Since they meet after x minutes, their position must be same:</u>

  • 10 + 15x = 150 - 20x
  • 15x + 20x = 150 - 10
  • 35x = 140
  • x = 140/35
  • x = 4 minutes

So the balloons will meet after 4 minutes

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