I go from my home to office at speed of 95km\h for 130 min and I come back at speed of 65km/h in 3 hrs 20 min.
Find distance of office from my home.
First let me tell you the difference between the Distance and Displacement .
Distance between two points is the total distance traveled while as the displacement is the shortest distance between two points .
So Just remember Distance is greater than or less than displacement.
office to home speed = 95 km/hr
= 95*5/18 m/s
time taken from home to reach office = 130 minutes
= 130 * 60s
= 7800 s
office to home speed = 65 km/hr
= 65*5/18 m/s
Time taken from office to home = 3 hr 20 minutes
= 3*60*60 s + 20*60 s
= (10800 + 1200 )s
we know that ,
Velocity = distance traveled / time taken
65*5/18 m/s = distance from office to home / 12000 s
=> distance from office to home = 65*(5/18 )*12000 m
= 216666.67 m