if the time taken in travelling a distance is T when the speed is S which of the following equation represent the relationship adequate between to set of science and speed (S1,T1 and S1,T1) for the same distance travelled?
1) S1T1=S2T2
2) S1/T2=S2/T1
3) S1T2=S2T2
4) S1/T1=S2/T2
Answers
Answer:
Option 2.) S1 / T2 = S2 / T1
Step-by-step explanation:
The relationship adequate between to set of science and speed (S1,T1 and S1,T1) for the same distance travelled?
Ans: S1 / T2 = S2 / T1
Given : time taken in travelling a distance is T when the speed is S
To Find : which of the following equation represent the relationship adequate between two set of Time and Speed
1) S₁T₁=S₂T₂
2) S₁/T₂=S₂/T₁
3) S₁T₂=S₂T₂
4) S₁/T₁=S₂/T₂
Solution:
time taken in travelling a distance is T when the speed is S
Distance = T * S
As Distance is fix
Hence product of time and speed is constant
This is called inverse relationship between time taken and speed of travel
S₁T₁=S₂T₂ is correct option
S₁/T₂=S₂/T₁
on cross multiplication
=> S₁T₁=S₂T₂ Hence this is also correct option
3) S₁T₂=S₂T₂
=> S₁ =S₂ Hence not correct
S₁/T₁=S₂/T₂
on cross multiplication
=> S₁T₂=S₂T₁ Hence not correct
so correct options are :
S₁T₁=S₂T₂ and S₁/T₂=S₂/T₁
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