Question

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

Answer 1

Answer: $3\dfrac{3}{4}\text{ hours}$

Step-by-step explanation:

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

Using formula $\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}$, we have

$\text{Speed}=\dfrac{1}{x}$  (1)

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

Then,

$\text{Speed}=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}=\dfrac{1}{5}\times\dfrac{4}{3}=\dfrac{4}{15}$   (2)

From (1) and (2), we have

$\dfrac{4}{15}=\dfrac{1}{x}\\\\\Rightarrow\ x=\dfrac{15}{4}=3\dfrac{3}{4}\text{ hours}$

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

Answer 2

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.