Question

A remote control car races straight down the street at 26 miles per hour. Twohours later, a second remote control car races straight down the same streetat 52 miles per hour in pursuit of the first car. From the moment the first carstarted, how many hours will it take the second car to catch up to the first?What type of problem best exemplifies this question?A. Significant figures B. Estimation/ScaleC.Unit ConversionD.Comparison of rates of speed

Answer 1

EXPLANATION

Let's see the facts:

rate_1= 26 miles/h

rate_2= 52 miles/h

Let's call x to the number of hours.

The second car will travel for 'x' hours.

The first car left 2 hours ago, so it would take (x + 2) hours to complete its journey.

It will fly 26(x + 2) miles before being caught by the second driver.

Both cars begin their journey in the same place.

Representing on an equation:

52x = 26 (x + 2)

Applying the distributive property:

52x = 26x + 52

Subtracting -26x to both sides:

52x - 26x = 52

Subtracting numbers:

26x = 52

Dividing both sides by 26:

x = 52/26

Simplifying:

x = 2

Two hours after the second car arrives, the second car catches up to the first car.

Answer: the type of problem that best exemplifies the question is a Estimation/scale