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

Answer:

50mph,60mph

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=$speed\times time$

Using the formula

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

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

$174=(2x+16)\times 1.5$

$174=3x+24$

$3x=174-24=150$

$x=\frac{150}{3}=50mph$

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

Answer 2

Answer

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.