Michael is riding his bike on a bike trail. In 2 hours he has biked 4/5 of the total distance of the bike trail. He wants to know how long the total bike trail will take him to travel completely. At this rate, what is the total time it will take him to complete the entire bike trail?(1 point)

Responses

245
hours
2 and 4 fifths hours

135
hours
1 and 3 fifths hours

212
hours
2 and 1 halfhours

25
hour

1 answer

Michael has biked \( \frac{4}{5} \) of the total distance in 2 hours. To find the total time to complete the entire bike trail, we can set up a proportion.

Let \( T \) be the total time to travel the entire bike trail. Since he has completed \( \frac{4}{5} \) of the distance in 2 hours, we can express this as:

\[ \frac{4}{5}T = 2 \text{ hours} \]

To find \( T \), we can solve for it:

\[ T = 2 \text{ hours} \times \frac{5}{4} \]

Calculating this gives:

\[ T = \frac{10}{4} \text{ hours} = 2.5 \text{ hours} \]

Thus, the total time it will take him to complete the entire bike trail is 2 and 1 half hours.

The correct response is:

212 hours, 2 and 1 half hours.