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Sagot :
Answer:
Rate of the Eastbound train is 93 mph.
Step-by-step explanation:
Let the speed of the Eastbound train = x miles per hour
And the speed of the West bound train = y mph
Eastbound train travels 14 mph slower than the westbound train,
So the equation will be,
y - x = 14 ----------(1)
If these trains are 400 miles apart after 2 hours,
Distance traveled by the Eastbound train = Speed × Time
= 2x miles
Distance traveled by the Westbound train = 2y miles
Trains are 400 miles apart after 2 hours,
So the equation will be,
2y + 2x = 400
x + y = 200 ----------(2)
By adding equation (1) and equation (2)
(y - x) + (x + y) = 14 + 200
2y = 214
y = 107 mph
From equation (1)
107 - x = 14
x = 107 - 14
x = 93 mph
Therefore, rate of the Eastbound train is 93 mph.
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