train travels from station P to station Q with a constant speed of 50km/h and return from Q to P
with a constant speed of 55km/h. Find the average speed of the train.
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train travels from station P to station Q with a constant speed of 50km/h and return from Q to P
with a constant speed of 55km/h. Find the average speed of the train.
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Verified answer
Answer :-
Average speed of the train is 52.38 km/h .
Explanation :-
We have :-
→ Speed from P to Q (v₁) = 50 km/h
→ Speed from Q to P (v₂) = 55 km/h
To find :-
→ Average speed of the train .
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It is given that the train travels from P to Q and then returns from Q to P.
As distance bewteen the two points is constant, so same distance is travelled by the train in both cases.
When distance travelled a body is same, then average speed can be calculated as :-
Vₐᵥ = 2v₁v₂/(v₁ + v₂)
⇒ Vₐᵥ = 2(50)(55)/(50 + 55)
⇒ Vₐᵥ = 100(55)/105
⇒ Vₐᵥ = 5500/105
⇒ Vₐᵥ = 52.38 km/h
Answer:
Explanation:
The answer is. 52.38 km/h