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?\
$10 + 55h = 60h$\
$55 + 10h = 60h$\
how long will it take for tristan to catch up to lucy?\
simplify any fractions.\
hours

Explanation:

Step1: Identify the correct equation

Lucy has a 10 - mile head start and travels at 55 mph, so her distance is \(10 + 55h\). Tristan travels at 60 mph, so his distance is \(60h\). When he catches up, their distances are equal, so the equation is \(10 + 55h=60h\).

Step2: Solve for \(h\)

Subtract \(55h\) from both sides:
\(10 + 55h-55h = 60h - 55h\)
\(10=5h\)

Step3: Divide both sides by 5

\(\frac{10}{5}=\frac{5h}{5}\)
\(h = 2\)

Answer:

2