Trains Boats and Streams Practice Test 1 with solutions

Let the distance in stations A and B is x kms
Speed = y kmph
Time = 45 minutes =

45

10

=

3

4

hrs
New speed of the train = (y - 5) kmph
Time = 48 minutes
=

48

60

=

4

5

hrs
=

3

4

=

x

y

⇒ x =

3

4

y ... (i)
and

4

5

=

x

−5

⇒ x = −5

4

5

x =

4

5

y−4 ... (ii)
From equation (i) and (ii) we get,

3

4

y =

4

5

y−4
4 =

4

5

y−

3

4

y
4 =

16y−15y

20

4 =

y

20

y = 80 kmph
Distance between station A and B is
x =

3

4

×80 = 60 kms