Basanti is walking beside a railway track between Pune and Baramati at a constant speed towards Baramati. Local trains ply between the two cities at equal intervals in both directions.She encounters a train going from Pune to Baramati after every 8 minutes and a train going from Baramati to Pune after every 6 minutes.What is the time interval between the two consecutive trains going from Pune to Baramati?(Trains between Pune and Baramati in both the directions run at the same speed.)
Let's do this the slow and steady way.
The distance between any two trains is fixed (let's say d), as is the speed of the trains (let's say t). If Basanti's speed is b, then in one direction the relative speed is t+b (and the time is d/(t+b) = 6 min) while in the other it is t-b (and the time is d/(t-b) = 8 min).
So we can say that (t-b) / (t+b)= 6/8 which gives t/b = 7/1. So d/8b = 6 (and t/6b = 8) which gives t = 48b.
Now the time between two consecutive trains will be d/t = 48b/7b = 6 + 6/7.
Let's do this the slow and steady way.
The distance between any two trains is fixed (let's say d), as is the speed of the trains (let's say t). If Basanti's speed is b, then in one direction the relative speed is t+b (and the time is d/(t+b) = 6 min) while in the other it is t-b (and the time is d/(t-b) = 8 min).
So we can say that (t-b) / (t+b)= 6/8 which gives t/b = 7/1. So d/8b = 6 (and t/6b = 8) which gives t = 48b.
Now the time between two consecutive trains will be d/t = 48b/7b = 6 + 6/7.
Can you elucidate how the AP HP construct is applied and on what distances etc and which three objects?
and to apply this distance must be same in all 3 scenarios. what are those 3 scenarios and what is the reference frame in each scenario- basanti, ground or train?
Can you elucidate how the AP HP construct is applied and on what distances etc and which three objects?