Question

A northbound train and a southbound train meet each other on parallel tracks heading in opposite directions. The northbound train travels 16 miles per hour faster than the southbound train. After 1.5 hours, they are 174 miles apart. At what speeds are the two trains traveling?

Answer 1

50mph,60mph

Step-by-step explanation:

Let speed of southbound train=x mph

Speed of northbound train,y=x+16 mph

Distance between two trains after 1.5 hour,174 miles.

We have to find the speed of two trains.

Distance=
`speed* time`

Using the formula

`174=1.5x+1.5(x+16)`

`174=1.5(x+x+16)`

`174=(2x+16)* 1.5`

`174=3x+24`

`3x=174-24=150`

`x=(150)/(3)=50mph`

`y=x+16=50+16=66mph`