Question

Pedro observes a marble travel along a horizontal path at a constant rate. The marble travels start fraction, 1, divided by, 15, end fraction 15 1 ​ of the length of the path in 2, start fraction, 2, divided by, 5, end fraction2 5 2 ​ seconds. At that rate, how many seconds does it take the object to travel the full length? On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.

Answer 1

It takes the marble 6 L seconds to travel the full length of the horizontal path at a constant rate of R.

How many seconds does it take to travel the full length

Represent the constant rate at which the marble travels as R.

From the question, we have that

The marble travels 1/15 in 2/5 seconds

Since the marble travels at a constant rate, then

R = (1/15)/(2/5) seconds

R = 1/6 per second

Also, we have

L / T = R

Substituting the first equation into the second equation, we get:

L / T = 1/6

Solving for T, we get:

T = 6

So, it takes the marble 6 seconds to travel the full length

Question

Pedro observes a marble travel along a horizontal path at a constant rate. The marble travels 1/5 of the length of the path in 2/5​ seconds. At that rate, how many seconds does it take the object to travel the full length?

Enter your answers as fractions, mixed numbers, or whole numbers.