Question

The distance between Station X to Station Y is 180km. Trains A and B both start from Sation X, and run towards Station Y at the same time. Train A runs at 30km/hr. Train B runs at 20km/hr. Trains A reaches station Y at 2:00 pm. Assume the trains run non-stop between the two stations.

When will Train B reach Station Y?
At 8:00 pm


At 3:00 pm


At 11:00 pm


At 5:00 pm

Answer 1

To find out when Train B will reach Station Y, we first need to determine how long it takes Train A to reach Station Y.

1. **Calculate the time taken by Train A:**
- Train A runs at a speed of 30 km/h.
- The distance from Station X to Station Y is 180 km.
- Time taken by Train A = Distance / Speed = 180 km / 30 km/h = 6 hours.

2. **Determine the departure time:**
- Since Train A arrives at Station Y at 2:00 pm and takes 6 hours, we can find that Train A left Station X at:
- 2:00 pm - 6 hours = 8:00 am.

3. **Now calculate the time for Train B:**
- Train B runs at a speed of 20 km/h.
- Time taken by Train B = Distance / Speed = 180 km / 20 km/h = 9 hours.

4. **Determine when Train B will arrive:**
- Train B departs Station X at the same time as Train A, which is at 8:00 am.
- Adding the travel time of 9 hours to the departure time:
- 8:00 am + 9 hours = 5:00 pm.

So, Train B will reach Station Y at **5:00 pm**.