Question

The Northbound train travels 14 miles per hour faster than the southbound train after 2 hours they are 244 Mi apart at what speed are the two trains traveling

Answer 1

Speed of the Northbound train = 68 miles per hour

Speed of the Southbound train = 54 miles per hour

How to find speed?

The Northbound train travels 14 miles per hour faster than the southbound train.

speed = distance / time

let

southbound train speed = x

Northbound train speed = 14 + x

After 2 hours they are 244 Mi apart . The speed  the two trains are travelling is as follows:

Therefore,

distance = speed × time

Hence,

244 = 2x + 2(14 + x)

244 = 2x + 28 + 2x

244 - 28 = 4x

4x = 216

divide both sides by 4

4x / 4 = 216 / 4

x = 54

Speed of the Northbound train = 14 + 54 = 68 miles per hour

Speed of the Southbound train = 54 miles per hour

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