Question

The following ratio gives us a unit rate of 2 feet per second.

Fill in the missing number in the ratio.
?/10 foot : 1/4 second

Answer 1

Explanation:

2 ft / 1 second

and now

x/10 foot / 1/4 second

we need to multiply the original ratio by 1/4 to get the same denominator :

2/1 × (1/4)/(1/4) = (2/4) / (1/4) = (1/2) / (1/4)

how many 10th foot are 1/2 ?

we need to bring 1/2 to the denominator of 10.

1/2 = x/10

10 = 2x

x = 5

so, 1/2 = 5/10

therefore, or answer is

5/10 foot / 1/4 second