Three persons are walking from a place A to

Question

Three persons are walking from a place A to another place B their speeds are in the ratio of 4:3:5 the ratio to reach B by these persons will be


let take x as distance
so
D         S          T
x         4
x         3
x         5

x/4+x/3+x/5
x=15
x=20
x=12
so distance is 15, 20, 12
but this is time ratio and we got distance so what is mistake

another doubt is how can i solve this with assuming x as time

Answer 1

Hi Amey,

 

x = vt

 

where x is the distanced, v is the speed and t is the time. We can solve for time to get

 

t = x/y

 

v2/v1 = 3/4, so v2 = (3/4)v1

 

v3/v1 = 5/4, v3 = (5/4)v1

 

t1 = x/v1

 

t2 = x/v2 = x/[(3/4)v1] = (4/3)x/v1 = (4/3)t1

 

t3 = x/v3 = x/[(5/4)v1] = (4/5)x/v1 = (4/5)t1

 

So, I get the time ratios to be 1 : 4/3 : 4/5

 

If you don't like fractions, you can multiple by the common denominator 15 and write: 15: 20 : 12

 

Is this what you are asking?