Question

The train from Metropolis A to Metropolis B takes 4 hours and 15 minutes. If the rail distance between Metropolis A and Metropolis B is 250 miles, how fast must the train average? mph

Answer 1

4 hours and 15 minutes =4+15/60=4.25 hours

the average speed of the train = 250/4.25=58.82mph

Answer 2

`58(14)/(17)\text{ mph}`

Explanation:

Given, the distance = 250 miles,

The time taken by rail to cover this distance = 4 hours 15 minutes

`=4(15)/(60)\text{ hours}`

`=4(1)/(4)\text{ hours}`

`=(17)/(4)\text{ hours}`

Since,

`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

Hence, the speed of the train

`=(250)/(17/4)`

`=(1000)/(17)=58(14)/(17)\text{ mph}`