Question : A person covers a certain distance by bus at 45 km/hr and immediately returns to the starting point by car at a speed of 80 km/hr. What is his average speed during the whole journey?
Option 1: 57.6 km/hr
Option 2: 63.2 km/hr
Option 3: 73.5 km/hr
Option 4: 45.5 km/hr

Question

Question : A person covers a certain distance by bus at 45 km/hr and immediately returns to the starting point by car at a speed of 80 km/hr. What is his average speed during the whole journey?

Option 1: 57.6 km/hr

Option 2: 63.2 km/hr

Option 3: 73.5 km/hr

Option 4: 45.5 km/hr

Team Careers360 · Accepted Answer

Correct Answer: 57.6 km/hr

Solution : Let the total distance travelled by the person during the whole journey be $2x$ km.
We know, time = $\frac{ ext{Total distance}}{ ext{Total time}}$
So, time taken by him to travel $x$ km at a speed of 45 km/hr = $\frac{x}{45}$
Time taken by him to travel $x$ km at a speed of 80 km/hr = $\frac{x}{80}$
Total time taken by him during the whole journey = $\frac{x}{45} + \frac{x}{80}$ = $\frac{125x}{3600}$
Now, Average speed = $\frac{ ext{Total distance}}{ ext{Total time}}=\frac{2x}{\frac{125x}{3600}}=\frac{7200}{125}= 57.6$ km/hr
Hence, the correct answer is 57.6 km/hr.

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Question : A person covers a certain distance by bus at 45 km/hr and immediately returns to the starting point by car at a speed of 80 km/hr. What is his average speed during the whole journey?Option 1: 57.6 km/hrOption 2: 63.2 km/hrOption 3: 73.5 km/hrOption 4: 45.5 km/hr

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Question : A person covers a certain distance by bus at 45 km/hr and immediately returns to the starting point by car at a speed of 80 km/hr. What is his average speed during the whole journey?
Option 1: 57.6 km/hr
Option 2: 63.2 km/hr
Option 3: 73.5 km/hr
Option 4: 45.5 km/hr