Question

Two stations A and B are at a distance of 120 kilometers. Train X started from A towards B at a speed of 60 KMPH and after 30
minutes, Train Y started from B away from A at a speed of 30 KMPH. When will the two trains meet if we assume the departure of X
at A is the starting time and the halting time at station B is 10 minutes?​

Answer 1

Answer:

Train x = 60 km/h

Train y = 30km /h

Train x begins first at 60 km/h.

In 1/2 hrs the distance covered by train x is :

1/2 × 60 = 30km

Let the total distance be D.

The distance remaining is (D - 30)km

Let the relative distance = 30km

Relative speed = 60 + 30 = 90 km/h

Time taken for them to meet is :

30/90 = 1/3 hrs

They meet after 1/3 hrs.

The total distance between a and b is :

(60 × 1/3  +  30)  + (30 × 1/3)

(20 + 30) + 10  = 60 km

Step-by-step explanation:

Answer 2

Train A and B meet in 1.5 hr after train A starts.

Step-by-step explanation:

Given:

Two stations A and B are at a distance of 120 kilometers.

Train X started from A towards B at a speed of $60 \frac{km}{hr}$ .

After 30 minutes, train Y started from B away from A at a speed of $30 \frac{km}{hr}$.

To Find:

The two trains meet  after  100 min.

Solution:

As given,train X started from A towards B at a speed of  $60 \frac{km}{hr}$.

Speed of train A =  $60\frac{km}{hr}$.

As given,After 30 minutes, train Y started from B away from A at a speed of $30 \frac{km}{hr}$.

Speed of train B =  $60\frac{km}{hr}$.

The train B starts  after time $=30 min =\frac{1}{2} hr.$

Let  Train A and B meet in p hours after train A starts.

Distance covered by A in p hours = 60 p km.

Distance covered by B in $(p-\frac{1}{2})$ ) hours  $=30(p-\frac{1}{2}) km.$

As given, two stations A and B are at a distance of 120 kilometers.

Distance  between Stations A and B  = 120 kilometers.

                       $60p+30(p-\frac{1}{2}) =120$

                       $60p+30p-30\times\frac{1}{2} =120$

                       $60p+30p-15 =120$

                       $90p=135$

                       $p=\frac{135}{90}=1.5 hr.$

Thus,train A and B meet in 1.5 hr after train A starts.

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