Question

Question :

x takes 3 hrs more than y to walk 30 km but if x doubles his pace then he is ahead of y by 1 and 1/2 hour. Find their speed of walking.


Pls give step by step explaination
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Answer 1

Answer:

Explanation:

let speed of X be = x km/hr

and speed of Y = y km/hr

A/Q  30/y + 3 = 30/x

and 30/y - 3/2 = 30/2x

now put 1/x= p  and 1/y = q

so equations become

30q + 3 = 30p ⇒ 10p-10q = 1......(1)

and 30q - 3/2 = 15p  ⇒ 10q - 1/2 = 5p⇒ 20q - 1 = 10 p ⇒ 20q -10 p = 1....(2)

solving (1) and (2) gives p =3/10  and q = 1/5

so x = 10/3 km/hr y = 5 km/hr

hope my ans is correct.