Question

Tori is running a 6400-meter race. So far the she has run 5000 meters in 26 minutes. If she runs the remaining distance at the st, same speed, which of the following equations can be used to find the time, t, in minutes that it will take her to run the remaining distance?

A. 1400= 5000/26 t
B. 1400= 26/5000 t
C. 5000= 26/1400 t
D. 5000= 1400/26 t

Answer 1

The correct equation to calculate the time t it will take Tori to finish the remaining 1400 meters of her race at the same speed she ran the previous 5000 meters in 26 minutes is 1400 = (5000/26) × t, which corresponds to option A.

Step-by-step explanation:

To find the time t in minutes that it will take Tori to run the remaining distance of the 6400-meter race, given that she has already run 5000 meters in 26 minutes, we need to establish the relationship between distance, speed, and time. We know that speed is equal to distance divided by time, and since Tori is running at a constant speed, we can use the same speed to find out how long it will take her to run the remaining 1400 meters of the race.

The correct equation is found by first calculating Tori's speed as 5000 meters divided by 26 minutes, and then using this speed to find the time t it will take to run the remaining 1400 meters. Therefore, the equation is 1400 = (5000/26) × t, which matches option A. This equation will give us the time it takes Tori to cover the remaining distance at the same speed she has been running.

Answer 2

The correct equation to find Tori's remaining running time t is

`\(1400 = (5000)/(26) * t\)` , making option A the correct choice.

To find the time, t, it's necessary to set up an equation using the relationship between distance, speed, and time, which is given by the formula:

`\[ \text{Distance} = \text{Speed} * \text{Time} \]`

In this case, the remaining distance is 1400 meters (6400 - 5000), and the speed is
`\( (5000)/(26) \)` meters per minute (since she has run 5000 meters in 26 minutes).

So, the correct equation is:

`\[ 1400 = (5000)/(26) * t \]`

This can be rearranged to:

`\[ 1400 = (192307.6923)/(t) \]`

Thus, the correct equation is option A:

`\[ 1400 = (5000)/(26) * t \]`