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?10+55h=60h55+10h=60hHow 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?10+55h=60h55+10h=60hHow long will it take for Tristan to catch up to Lucy?Simplify any fractions. hours
Solution
The equation to find h, the number of hours it will take for Tristan to catch up to Lucy is 10 + 55h = 60h. This equation is derived from the fact that Lucy has a 10 mile head start and is traveling at 55 miles per hour, while Tristan is traveling at 60 miles per hour.
To solve for h, we can subtract 55h from both sides of the equation to get:
10 = 5h
Then, divide both sides by 5 to solve for h:
h = 10 / 5
So, it will take Tristan 2 hours to catch up to Lucy.
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