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 60km/h towards B and at the same time a train T2 with a speed of 80km/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 at least how many stations – town or village - are there between A and C? Assume T1 stops only at town or village-stations.
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 60km/h towards B and at the same time a train T2 with a speed of 80km/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 at least how many stations – town or village - are there between A and C? Assume T1 stops only at town or village-stations.
The correct option is D 16
Option (d)
As the train T2 covered 560km, both trains traveled for 7 hours, but T1 traveled 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
⇒ 5x + 3y = 60 ⇒ x=3, y=15, x=6, y = 10, or x=0, y = 20⇒ least is 16
Therefore, choice (d) is the right option
Option (d)
As the train T2 covered 560km, both trains traveled for 7 hours, but T1 traveled 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
⇒ 5x + 3y = 60 ⇒ x=3, y=15, x=6, y = 10, or x=0, y = 20⇒ least is 16
Therefore, choice (d) is the right option
