Question

Two stations A and B are 920 km apart. A train T1, which stops for 5 minutes in every town-station and for 3 minutes in every village-station started from A with a speed of 60 km/h towards B and at the same time, a train T2 with a speed of 80 km/h which does not stop in any intermediate station started from B towards A. They met at C which is 560 km away from B. If the number of town-stations between A and C is less than the number of village-stations, then the least number of stations – town or village - are there between A and C is (Assume T1 stops only at town or village-stations)___

Answer 1

As the train T2 covered 560 km, both trains travelled for 7 hours, but T1 travelled only 360 kms. Therefore, halting time = 60 minutes. Let the number of town-stations be x and number of village stations be y, $x<y$

$\Rightarrow$ 5x + 3y = 60 $\Rightarrow$ x=3, y=15, x=6, y = 10, or x=0, y = 20$\Rightarrow$ least is 16