Avbus leaves agra at 5am and reaches delhi at 12 noon.Another bus leaves delhi at 8am and reaches agra at 3 pm.at what time did they meet?
Answers
Answer:
A bus leaves Agra at 5am and reaches Delhi at 12 noon.Another bus leaves Delhi at 8am and reaches Agra at 3 pm. At what time did they meet?
The two vehicles meet at 10 am - after first vehicle covers five hours and the second 2 hours.
Step-by-step explanation:
First bus leaves at 5 am from Agra and reaches Delhi at 12 noon
The first bus takes 7 hours to reach Delhi
The second bus travels from Delhi to Agra from 8am to pm
This second bus also takes 7 hours to cover the same distance. ( The distance between Agra - Delhi and Delhi to Agra is the same; let say x km)
If each bus covers x km in 7 hours, then in 1 hour each bus covers exactly x/7 km towards each other.
You can divide this distance in 7 portions and find the position of the two vehicles in respect to time. First bus approaching from x/7 position and second from x position
Distance covered with time for bus 1: 5am - 6am x/7 , 7am - 2x/7, 8am - 3x/7, 9am - 4x/7, 10am - 5x/7, 11am - 6x/7, 12pm - x
Distance covered with time for bus 2 in respect to first bus: 8am - 9am - 6x/7, 10am - 5x/7, 11 am - 4x/7 , 12pm - 3x/7, 1pm 2x/7, 2pm - 3pmx/7.
The two vehicles meet at 10 am - after first vehicle covers five hours and the second 2 hours.