Question

Two trains start simultaneously from Kanpur and Agra towards each other with speeds of $70$ km/hr and $90$ km/hr respectively. When they met each other it was observed that one of them had covered $350$ km more than the other. Find distance between Kanpur and Agra ?

• A. $2400km$
• B. $2550km$
• C. $2700km$
• D. $2800km$

Answer 1

The correct option is D $2800km$

$70km/hr1sttrain2ndtrain990km/hr|---------------|KanpurAgra$

Let us assume that the second train has traveled $350$km more than the first train because speed of second train is ($20$km/hr) more than the first train and their starting time is same.

Time taken by the second train to cover $350$km with the surplus speed of $20$km/hr=$\frac{350km}{20km/hr}=17.5hrs$.

This time both the train takes before meeting point in opposite direction.

Relative speed of both train in opposite direction

$=70km/hr+90km/hr=160km/hr$

$\therefore$ Total distance covered =$17.5hr\times 160km/hr=2800km$