A remote control car races down the street at 26 miles per hour. Two hours later a second remote control car races straight down the same street at 52 miles per hour in pursuit of the first car. From the moment the first car started, how many hours will it take for the second car to catch up to the first car? what is a reasonable first step in solving this problem?

4 hours

Step-by-step explanation:

Given

Car 1:

Car 2:

--- i.e. 2 hours after car 1

Required

Determine the time car 1 will meet car 2

To do this, we calculate the distance of both cars using:

For Car 1:

For Car 2:

Open bracket

When car 2 meets up with car 1, they are at the same distance.

So:

Collect Like Terms

Solve for h

Car 2 will catch car 1; 4 hours from the start

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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