Question

Please show all work

1.A car travels at 2/3 miles per minute. Another car travels at 1 mile per minute but it starts 2 hours after the first car. When will the second car catch up to the first car?

Answer 1

How far does the first car go in the 2 hours head start it gets?

Now, at t = 2 hours, both cars are moving. How much faster is the second car than the first car? How long will it take to recover the head start? You can determine this by dividing the head start by the difference in the two speeds. If car 1 has a 20 mile head start, and car 2 is 5 mph faster, then it will take 20/5 = 4 hours to catch up.

Answer 2

You could also write two equations, one for each car, showing how far they have gone in a variable amount of time. Set the two equations equal to each other and solve for the value of the time. Note that the second car's equation will use (t-2) for the time, because it doesn't start driving until t = 2.

Answer 3

Write two real-world problems that can be solved using multi-step equations that use fractions or decimals. Solve each equation, showing and explaining all your steps. Then write an explanation of the answer to the problem.