A man travels from Delhi to Agra at an average speed of 30km per hour ...
Solution:
To find the average speed of the entire journey, we need to use the formula:
Average speed = Total distance / Total time
Let us assume that the distance between Delhi and Agra is 'd' km, and the time taken to travel from Delhi to Agra at an average speed of 30 km/hr is 't1' hours. Then, the time taken to travel back from Agra to Delhi at an average speed of 60 km/hr is 't2' hours.
The total distance covered in the entire journey is 2d km (as the distance covered while going from Delhi to Agra is d km, and the distance covered while returning from Agra to Delhi is also d km).
Total time taken for the entire journey = t1 + t2
Now, let's find the value of 't1' and 't2'.
t1 = Distance / Speed = d / 30
t2 = Distance / Speed = d / 60
Total time taken for the entire journey = d/30 + d/60 = 3d/60 = d/20
Average speed = Total distance / Total time
= 2d / (d/20) = 40 km/hr
Therefore, the average speed of the entire journey is 40 km/hr. Hence, the correct answer is option (b) 40 km/hr.
HTML formatted answer:
Solution:
To find the average speed of the entire journey, we need to use the formula:
Average speed = Total distance / Total time
Let us assume that the distance between Delhi and Agra is 'd' km, and the time taken to travel from Delhi to Agra at an average speed of 30 km/hr is 't1' hours. Then, the time taken to travel back from Agra to Delhi at an average speed of 60 km/hr is 't2' hours.
The total distance covered in the entire journey is 2d km (as the distance covered while going from Delhi to Agra is d km, and the distance covered while returning from Agra to Delhi is also d km).
Total time taken for the entire journey = t1 + t2
Now, let's find the value of 't1' and 't2'.
t1 = Distance / Speed = d / 30
t2 = Distance / Speed = d / 60
Total time taken for the entire journey = d/30 + d/60 = 3d/60 = d/20
Average speed = Total distance / Total time
= 2d / (d/20) = 40 km/hr
Therefore, the average speed of the entire journey is 40 km/hr. Hence, the correct answer is option (b) 40 km/hr.
A man travels from Delhi to Agra at an average speed of 30km per hour ...
Option b is the right answer
40km per hour
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