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A person travels 60 km by car at a speed of 50 km/hr, then 80 km by bus at a speed of 40 km/hr and finally 100 km by train at a speed of 80 km/hr. Wha
Question

A person travels 60 km by car at a speed of 50 km/hr, then 80 km by bus at a speed of 40 km/hr and finally 100 km by train at a speed of 80 km/hr. What is the average speed (rounded off two decimal places) of the person for the entire trip?

A.

53.93 km/hr

B.

59.93 km/hr

C.

48.93 km/hr

D.

61.93 km/hr

Correct option is A

Given:
Distance 1 = 60 km, Speed 1 = 50 km/hr
Distance 2 = 80 km, Speed 2 = 40 km/hr
Distance 3 = 100 km, Speed 3 = 80 km/hr
Formula Used:
Time = DistanceSpeed\frac{Distance}{Speed}​​
Average Speed = TotalDistanceTotalTime\frac{Total Distance}{Total Time}​​
Solution:
First, we calculate the total distance traveled by the person.
Total Distance = 60 + 80 + 100 = 240 km
Next, we calculate the individual times taken for each part of the journey.
Time 1 (by car) = 6050 \frac{60}{50} ​= 1.2 hours

Time 2 (by bus) = 8040\frac{80}{40}​ = 2.0 hours

Time 3 (by train) = 10080\frac{100}{80}​ = 1.25 hours
Now, we find the total time taken for the entire trip.
Total Time = 1.2 + 2.0 + 1.25 = 4.45 hours
Finally, compute the average speed using the formula.
Average Speed = 2404.45\frac{240}{4.45}​​
Average Speed = 53.93258... km/hr
Rounding off to two decimal places, we get 53.93 km/hr.
Final Answer
So the correct answer is (a)

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