Question

the distance between ahmedabad and vadodara is 100 km.two trains set off simultaneously from ahmedabad and vadodara towards towards each other. the speed of these trains are 45 kmph and 30kmph respectively .when will they cross each other​

Answer 1

Answer:

Train A will meet train B after covering a distance of 60 km.

Step-by-step explanation:

Given distance between Ahmadabad and Vadodara =100 km

Velocity of train A , $v_{A}$ = 45km/hr  and velocity of train B , $v_{B}$ = 30km/hr

Let the two trains meet at a distance x from their from A's origin.

Thus distance traveled by train A at time t =x km and distance traveled by train B at  same time period of t =100 -x  

Since the time function is same for both the trains we can equate for both the trains by the following expression  

 $\frac{x}{45} = \frac{100 - x}{30}$

$30x = 4500 - 45x$

$x = \frac{4500}{75}$

 $x = 60km$

Thus train A will meet train B after covering a distance of 60 km.