A train traveled 1/5 of the distance between two cities in 3/4 hour. At this rate, how many hours will it take the train to travel the entire distance between these two cities

1/5 is equal to the 20% of the trip and that took 45 minutes.
45minutes/20% of traveled distance = X minutes/ 100% travel distance
2.25 * 100= X
225= X
So if for the 1/5 or 20% of the trip lasted 3/4hour or 45 minutes. To complete the trop you need 225 minutes or 3 hours and 45 minutes or 3 3/4 hours.

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JeanaShupp JeanaShupp · Answer 2 · 2019-10-05T04:11:21+02:00

Answer: [tex]3\dfrac{3}{4}\text{ hours}[/tex]

Step-by-step explanation:

Let x denotes the number of hours to cover the entire distance between these two cities .

Using formula [tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex], we have

[tex]\text{Speed}=\dfrac{1}{x}[/tex] (1)

Given : A train traveled [tex]\dfrac{1}{5}[/tex] of the distance between two cities in [tex]\dfrac{3}{4}[/tex] hour.

Then,

[tex]\text{Speed}=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}=\dfrac{1}{5}\times\dfrac{4}{3}=\dfrac{4}{15}[/tex] (2)

From (1) and (2), we have

[tex]\dfrac{4}{15}=\dfrac{1}{x}\\\\\Rightarrow\ x=\dfrac{15}{4}=3\dfrac{3}{4}\text{ hours}[/tex]

Hence, it will take [tex]3\dfrac{3}{4}\text{ hours}[/tex] to complete the entire distance between these two cities.