The Coleman family is moving to a new home on the other side of the state. Lucy Coleman leaves first, hauling a trailer and traveling at a constant speed of 55 miles per hour. When her husband, Tristan, leaves in his car, Lucy is already 10 miles away. Tristan drives at a constant speed of 60 miles per hour. Which equation can you use to find h, the number of hours it will take for Tristan to catch up to Lucy? Choices: (A)55 + 10h = 60h (B)10 + 55h = 60h How long will it take for Tristan to catch up to Lucy? Simplify any fractions. ____ hours

Question

The Coleman family is moving to a new home on the other side of the state. Lucy Coleman leaves first, hauling a trailer and traveling at a constant speed of 55 miles per hour. When her husband, Tristan, leaves in his car, Lucy is already 10 miles away. Tristan drives at a constant speed of 60 miles per hour. Which equation can you use to find h, the number of hours it will take for Tristan to catch up to Lucy?   Choices: (A)55 + 10h = 60h (B)10 + 55h = 60h  How long will it take for Tristan to catch up to Lucy? Simplify any fractions.   ____ hours

Bytelearn · Accepted Answer

Figure out the equation:  Let's figure out the equation to use. Lucy starts 10 miles ahead and travels at 55 mph. Tristan travels at 60 mph. We need to find when Tristan catches up, meaning when they've traveled the same distance. Set up equation:  Set up the equation based on their distances. Lucy's distance = 55h + 10 (because she's already 10 miles ahead). Tristan's distance = 60h. Set them equal to find when Tristan catches up: 55h + 10 = 60h. Solve for h:  Solve for h. Subtract 55h from both sides: 10 = 5h. Divide to isolate h:  Divide both sides by 5 to isolate h: h = 10 / 5. Calculate final answer:  Calculate h: 10 / 5 = 2. So, it takes Tristan 2 hours to catch up to Lucy.

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