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Answers
Answer :-
Average speed for the whole journey is 49.11 km/h .
Explanation :-
For calculation of average speed, firstly we have to calculate the total distance travelled and total time taken.
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From Delhi to Agra :-
→ Speed (v₁) = 30 km/h
→ Time (t₁) = 2 hrs
⇒ Distance = Speed × Time
⇒ d₁ = 30 × 2
⇒ d₁ = 60 km
From Agra to Kanpur :-
→ Speed (v₂) = 60 km/h
→ Distance (d₂) = 200 km
⇒ Time = Distance/Speed
⇒ t₂ = 200/60
⇒ t₂ = 3.33 hrs
From Kanpur to Prayagraj :-
→ Distance (d₃) = 100 km
→ Time (t₃) = 2 hrs
In this case, we have both the distance covered and time taken .
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Total distance covered :-
= d₁ + d₂ + d₃
= (60 + 200 + 100) km
= 360 km
Total time taken :-
= t₁ + t₂ + t₃
= (2 + 3.33 + 2) hrs
= 7.33 hrs
Average speed :-
= Total distance/Total time
= 360/7.33
= 36000/733
= 49.11 km/h
Given :-
Speed 1 = 30 km/h
Time 1 = 2 hrs
Speed 2 = 60 km/h
Distance 2 = 200 km
Distance 3 = 100 km
Time = 2 hrs
To Find :-
Average speed
Solution :-
In Case 1
Distance = Speed × Time
Distance = 30 × 2
Distance = 60 km
In Case 2
Time = Distance/Speed
Time = 200/66
Time = 3.33 hr
Now
Average speed = Distance covered/Time taken
Avg. Speed = 60 + 200 + 100/2 + 3.33 + 2
Avg. Speed = 360/7.33
Avg. Speed = 49.1 km/h