Question

A train leaves a station and travels north at a speed of 45 mph. Two hours later, a second train leaves on a parallel track and travels north at 75 mph. How far from the station will they meet?

Answer 1

Both trains will meet in 3 hours.

Step-by-step explanation:

Given,

Speed of train A = 45 mph

Distance covered in two hours = 2*45 = 90 miles

Let,

x be the number of hours for both trains.

A(x) = 45x+90

Speed of train B = 75 mph

B(x) = 75x

For same distance;

A(x) = B(x)

$45x+90=75x\\90=75x-45x\\90=30x\\30x=90$

Dividing both sides by 30

$\frac{30x}{30}=\frac{90}{30}\\x=3$

Both trains will meet in 3 hours.

Keywords: function, division

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