Question

A northbound train and a southbound train meet each other on parallel tracks heading in opposite directions.

The northbound train travels 8 miles per hour faster than the southbound train. After 2 hours, they are 224
miles apart. At what speeds are the two trains traveling?
The northbound train

Answer 1

Given,

Let the speed of the slower train be x mph.

speed of faster train be (x+16) mph.

time, t = 1.5 hr

d₁ = 1.5 x

d₂ = (x+16)× 1.5

both train are traveling in opposite direction

d₁ + d₂ = 174

1.5 x + (x+16)× 1.5 = 174

3 x + 24 = 174

3 x = 150

x = 50

Speed of the slower train is 50 mph

Speed of the faster train is (50+16) = 66 mph.

Explanation: