Question

Now see if you can solve these word problems about time and distance.

At the same moment, two trains leave
Edinburgh and London. They move
towards each other with constant
speeds. The train from Edinburgh
is moving at a speed of 60 miles per
hour, and the train from London is
moving at a speed of 40 miles per hour.
The distance between Edinburgh and
London is 350 miles. How long after
their departure will they meet? l have solution ​

Answer 1

3.5 hours

Explanation:

Ediburgh -------------------------------350 miles-------------------------London

Let the distance traveled by train from Edin to London be "x"

hence the distance traveled by train from London to Edin would be "350-x"

• The rate of Edin to London train is 60
• The rate of London to Edin train is 40

Let the time they meet be"t"

Now, we know distance formula to be D = RT

Where

D is distance

R is rate

and

T is time

Train from Edin to London:

x = 60t

Train from London to Edin:

350-x = 40t

Solving for x:

350 - 40t = x

We put this into first equation:

x = 60t

350 - 40t = 60t

350 = 100t

t = 350/100

t = 3.5

They meet after 3.5 hours