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)

Question

Responses

135
hours
1 and 3 fifths hours

25
hour
2 fifths hour

212
hours
2 and 1 halfhours

245
hours

Answer 1

To find out how long it will take Michael to complete the entire bike trail, we can set up a proportion based on the information provided.

Michael has completed \( \frac{4}{5} \) of the total distance in 2 hours. We want to find the total time \( T \) it will take him to complete the entire bike trail.

Using the proportion: \[ \frac{4}{5} \text{ of distance} \text{ corresponds to } 2 \text{ hours} \] This means that \( 1 \text{ whole distance} \) would correspond to: \[ T = \frac{2 \text{ hours}}{\frac{4}{5}} = 2 \text{ hours} \times \frac{5}{4} = \frac{10}{4} = 2.5 \text{ hours} \]

Thus, the total time it will take him to complete the entire bike trail is \( 2.5 \text{ hours} \), which can also be written as \( 2 \) and \( \frac{1}{2} \) hours, or \( 2 \) hours and \( 30 \) minutes.

So the correct response is: 2 and 1 half hours.