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3 years ago

6

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

n 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?

2 answers:

SSSSS [86.1K]3 years ago

4 0

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

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

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

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

$174=3x+24$

$3x=174-24=150$

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

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

marta [7]3 years ago

3 0

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.

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