Question

20. There are two points on a highway A, B. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.

Answer 1

here is your answer by Sujeet yaduvanshi,

Let to be auto A be x
let to be auto B be y
then,
A/q
Given , totally distance=70km

Then,
7x-7y=70
7(x-y)=70
x-y=10
Again,
x+y=70


Again we solve the two equation,

x-y=10
x+y=70

by elimination method for solving the equation,
x+y=70
x-y=10

----------
2y=60
y=60/2
y=30

then,
x+y=70
x+30=70
x=70-30
x=40

Again,
auto A be 40 km/hr
auto B be 30km/hr