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

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.

Answer 2

Answer:
`3(3)/(4)\text{ hours}`

Explanation:

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

Using formula
`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`, we have

`\text{Speed}=(1)/(x)` (1)

Given : A train traveled
`(1)/(5)` of the distance between two cities in
`(3)/(4)` hour.

Then,

`\text{Speed}=((1)/(5))/((3)/(4))=(1)/(5)*(4)/(3)=(4)/(15)` (2)

From (1) and (2), we have

`(4)/(15)=(1)/(x)\\\\\Rightarrow\ x=(15)/(4)=3(3)/(4)\text{ hours}`

Hence, it will take
`3(3)/(4)\text{ hours}` to complete the entire distance between these two cities.