Question

while covering a distance of 30km ajith takes 2 hours more than abdul. if ajith doubles his speed he would take 1 hour less than abdul .find their speeds of walking

Answer 1

We know,

Time = Distance/Speed

Let speed of Ajit be x and abdul be y.


Case I,

T = 30/x
T' = 30/y

According to question,
T = T'+2
So
30/x- 30/y = 2. (a)

Case II

T = 30/2x
T' = 30/y

According to QUESTION,
T'= T+1
so

30/y -30/2x= 1. (b)

From EQUATION a and b

30/x - 30/y = 2
30/y -30/2x = 1

Elimination, (add)

30/x - 30/2x = 3

30/2x = 3

15/x = 3

x= 15/3
x = 5 km/h

Put it in equation a