A man goes from his house to office at 5 km/h and returns back by the same route at 20 km/h. Find his average speed for the whole journey. Options: (a) 12 km/h  (b) 8 km/h  (c) 6 km/h  (d) 10 km/h


Q. A person goes from his home to the office at a speed of 5 km/h and returns by the same route at a speed of 20 km/h. Find the average speed for the whole journey. āĻĒā§ā§°āĻļā§āύāσ āĻāϜāύ āĻŦā§āϝāĻ•ā§āϤāĻŋāϝāĻŧ⧇ āύāĻŋāϜ⧰ āϘ⧰⧰ āĻĒā§°āĻž āĻ•āĻžā§°ā§āϝāĻžāϞāϝāĻŧāϞ⧈ 5 km/h āĻŦ⧇āϗ⧇ āϝāĻžāϝāĻŧ āφ⧰⧁ āĻāϕ⧇āχ āĻĒāĻĨ⧇āĻĻāĻŋ 20 km/h āĻŦ⧇āϗ⧇ āϘ⧰āϞ⧈ āωāĻ­āϤāĻŋ āφāĻšā§‡āĨ¤ āϏāĻŽāĻ—ā§ā§° āϝāĻžāĻ¤ā§ā§°āĻžā§° āĻ—āĻĄāĻŧ āĻŦ⧇āĻ— āύāĻŋā§°ā§āĻŖāϝāĻŧ āϕ⧰āĻžāĨ¤


Options / āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ: (a) 12 km/h  (b) 8 km/h  (c) 6 km/h  (d) 10 km/h


Soln


Formula / āϏ⧂āĻ¤ā§ā§°


For equal distances: (āϏāĻŽāĻžāύ āĻĻā§‚ā§°āĻ¤ā§āĻŦā§° āĻŦāĻžāĻŦ⧇:): Average Speed = 2xy / x+y 


where, x = 5 km/h, y = 20 km/h



Average Speed = 8 km/h (āĻ—āĻĄāĻŧ āĻŦ⧇āĻ— = 8 km/h)