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=[tex]speed\times time[/tex]
Using the formula
[tex]174=1.5x+1.5(x+16)[/tex]
[tex]174=1.5(x+x+16)[/tex]
[tex]174=(2x+16)\times 1.5[/tex]
[tex]174=3x+24[/tex]
[tex]3x=174-24=150[/tex]
[tex]x=\frac{150}{3}=50mph[/tex]
[tex]y=x+16=50+16=66mph[/tex]
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.
