Question

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 480 miles apart after 3 hours, what is the rate of the eastbound train?

Answer 1

Answer:75

Step-by-step explanation:

Equation:

dist + dist = 510 miles

3x + 3x-60 = 510

6x = 570

x = 95 mph

x-20 = 75 mph (speed of the westbound train)

Answer 2

Answer: 73 mi/hr

Explanation:

Distance to east+Distance to west = 480

But distance = V x t

Let x be the velocity
And t = 3hr

=> 3(x - 14) + 3x = 480
=> 3x - 42 + 3x = 480
=> 6x - 42 = 480
=> 6x = 522
=> x = 522/6
=> x = 87

But eastbound train travel 14 mi less than westbound.

x - 14

But x = 87

=> 87 - 14 = 73

Thus, 73 is the rate of the eastbound train