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Answer:
= x/20=x+400/25
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
Let length of the trip of Train W be = xx miles
Speed of Train W can be given as :
⇒ \frac{Distance}{Time}
Time
Distance
⇒ \frac{x}{20}\ miles/h
20
x
miles/h
So, the length of the trip of Train Z will be = (x+400)(x+400) miles
Speed of Train Z can be given as :
⇒ \frac{Distance}{Time}
Time
Distance
⇒ \frac{x+400}{25}\ miles/h
25
x+400
miles/h
Since the speeds are same, so the equation to find xx can be given as:
⇒ \frac{x}{20}=\frac{x+400}{25}
20
x
=
25
x+400
Solving for xx
Multiplying both sides by 100 to remove fractions.
⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}100×
20
x
=100×
25
x+400
⇒ 5x=4(x+400)5x=4(x+400)
Using distribution.
⇒ 5x=4x+16005x=4x+1600
Subtracting both sides by 4x4x
⇒ 5x-4x=4x-4x+16005x−4x=4x−4x+1600
⇒ x=1600x=1600
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 1600+4001600+400 = 2,000 miles