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Orlov [11]
3 years ago
11

Jack and Jill live 345 miles apart from one another. They want to meet for lunch and agree to leave the

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

It will take them 3 hours to meet

Step-by-step explanation:

The given is:

  • Jack and Jill live 345 miles apart from one another
  • They want to meet for lunch and agree to leave the  same time, drive toward each other, and meet somewhere along the route
  • Jack's average rates 60 mph
  • Jill's average rate is 55 mph

We need to find how long it will take them to meet

Distance = Speed × Time

∵ They will drive toward each other at the same time and meet

   each other somewhere

- That means they will drive for the same time

∵ Jack's average rates 60 mph for t hours

∴ Jack will drive a distance = 60 × t = 60 t  miles

∵ Jill's average rate is 55 mph for t hours

∴ Jill will drive a distance = 55 × t = 55 t  miles

∵ The distance between Jack and Jill is 345 miles apart

- Add their distance above and equate the sum by 345

∴ 60 t + 55 t = 345

∴ 115 t = 345

- Divide both sides by 115

∴ t = 3 hours

It will take them 3 hours to meet

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

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