Question
Download Solution PDFMohan goes to office from home at a speed of 20 km/h and returns to home from office at a certain speed. If the average speed is 24 km/h, then what is the speed while returning?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Speed from home to office = 20 km/h
Average speed = 24 km/h
Concept:
Let the speed while returning from the office to home be denoted by x. We can use the concept of average speed to set up an equation and solve for x.
Solution:
The formula for average speed is given by:
Average speed = 2ab/(a + b)
where a and b are the speeds of two different segments.
Using the given data, we have:
24 km/h = (2 × 20 km/h × x)/(20 km/h + x)
Simplifying this equation, we find:
480 km/h + 24x km = 40x km/h
16x = 480
x = 30 km/h
Therefore, the speed while returning is 30 km/h.
Last updated on Jun 30, 2025
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