Bus A start from station X at a speed of 55 km/hr, while bus B start from station Y at a speed of 65 km/hr on the same time and are moving towards each other. If the distance between the stations X and Y is 300 km, how much more distance is to be covered by bus A to reach station Y from the meeting point of the two buses?

Bus A start from station X at a speed of 55 km/hr, while bus B start from station Y at a speed of 65 km/hr on the same time and are moving towards each other. If the distance between the stations X and Y is 300 km, how much more distance is to be covered by bus A to reach station Y from the meeting point of the two buses? Correct Answer 162.5 km

⇒ Speed of bus A = 55 km/hr

⇒ Speed of bus B = 65 km/hr

As, the two buses are moving towards each other, i.e., in opposite directions,

⇒ Relative speed = 55 + 65 = 120 km/hr

When the two buses meet, they have together covered a distance of 300 km

⇒ Time after the buses meet = Distance covered/Relative speed = 300/120 = 2.5 hrs

Now,

⇒ Distance covered by bus A in 2.5 hours = 2.5 × 55 = 137.5 km

⇒ Remaining distance to be covered by bus A to reach station Y = 300 – 137.5 = 162.5 km

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.