Question

Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 80 mph how long before they meet

Answer 1

They will meet in 1.8 hours.

Explanation:

Given that, distance between trains = 306 miles

Let they take time
`'t'` to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train =
`D_1` miles

Formula for distance:

`Distance = Speed * Time`

Distance traveled by first train,
`D_1 = 90t`

Let distance traveled by first train =
`D_2` miles

Formula for distance:

`Distance = Speed * Time`

Distance traveled by first train,
`D_2 = 80t`

Total distance traveled is 306 miles.

i.e.

`D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =(306)/(170)\\\Rightarrow \bold{t=1.8\ hr}`

They will meet in 1.8 hours.