allen and annie travel at x m/s. and y m/s. respectively. If the space covered by both of them is same, what is the ratio of the time taken please help me
Answers
Answer:
y : x [Allen to Annie]
Step-by-step explanation:
As we know, speed = distance/time
⇒ time = distance/speed
Let the distance travelled by each of them be 'd'.
Time taken by Allen = d/x ...(1)
Time taken by Annie = d/y ...(2)
On dividing (1) by (2), we get
⇒ Time by Allen : time by Annie = (d/x)/(d/y)
⇒ Time by Allen : time by Annie = y / x
Given :-
Allen and Annie travel at x m/s. and y m/s. respectively. If the space covered by both of them is same
To Find :-
What is the ratio of the time taken
Solution :-
Let the distance covered by Allen be S
Distance covered by Allen = Distance covered by Annie
Distance covered by Annie = S
Time = Distance/Speed
For Allen
Time = S/x
For Annie
Time = S/y
Now
Ratio = Allen : Annie
Ratio = S/x : S/y
Ratio = (S/x)/(S/y)
Ratio = S/x × y/S
Ratio = y/x