Question

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. lack's average rates 60 pland
Hill's average rate is 55mph How long will it take them to meet? Give your wet in bo and sites

Answer 1

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

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