three persons are walking from placeA to place B their speeds are in the ratio of 3:4:12 what is the ratio of the time taken by them to reach place B
Answers
Answer:
The ratio is - 4:3:1
Step-by-step explanation:
You have to understand the pattern.
Given,
The ratio of the speeds of three persons waking from place A to place B is 3:4:12.
To find,
The ratio of the time taken by all of them to reach place B.
Solution,
We can simply solve this mathematical problem using the following process:
As per the question;
let us assume that the speeds of three persons waking from place A to place B are 3x, 4x, and 12x units respectively.
Also, let the distance between point A and point B be equal to d units.
Mathematically,
Speed (s) = Distance traveled (d) / time taken (t)
=>Time taken(t) = Distance traveled (d)/Speed (s)
Now,
Time taken by the first person to reach point B
= Distance traveled (d)/Speed (s)
= d/3x
Time taken by the second person to reach point B = Distance traveled (d)/Speed (s)
= d/4x
Time taken by the third person to reach point B
= Distance traveled (d)/Speed (s)
= d/12x
The ratio of the time taken by all of them to reach place B = d/3x:d/4x:d/12x
= 1/3:1/4:1/12
= 4:3:1
Hence, the ratio of the time taken by all of them to reach place B is 4:3:1.