Daksh travels 445 km at 89 km/hr, the next 495 km at 55 km/hr and the next 250 km at 50 km/hr. What is his average speed (in km/hr) for the whole journey? (Corrected to two decimal places)​

Correct option is A

Given:

- Daksh travels 445 km at 89 km/hr.
- Daksh travels the next 495 km at 55 km/hr.
- Daksh travels the next 250 km at 50 km/hr.
- We need to find Daksh's average speed for the entire journey, corrected to two decimal places.
Formula Used:
​$$Average Speed =\frac{ Total \ Distance }{ Total \ Time } \\\ \\Time =\frac{ Distance }{Speed}$$​​
Solution:
Total Distance = 445 km + 495 km + 250 km = 1190 km
Time for each part of the journey:
For the first part: $$Time_1 =\frac{ 445 }{ 89} = 5$$​hours
For the second part: $$Time_2 =\frac{ 495 }{ 55} = 9 hours$$​​
For the third part: $$Time_3 = \frac{250 }{50} = 5$$​hours
Total Time = $$Time_1 + Time_2 + Time_3 = 5 + 9 + 5 = 19$$​ hours

Average Speed = $$\frac{Total \ Distance }{ Total \ Time }= \frac{1190 }{19} = 62.63$$​ km/hr
Daksh's average speed for the entire journey is 62.63 km/hr.