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 =
Average Speed =
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) = = 1.2 hours
Time 2 (by bus) = = 2.0 hours
Time 3 (by train) = = 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 =
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)