Question

places A and B are 160 kilometre apart on a highway one car starts from A and another from B at the same time if the travel in the same Direction they meet in 8 hours but if the travel towards Each Other they meet in 2 hours find the speed of each car​

Answer 1

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Answer 2

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|--------- 160 km ---------|
A _________________B

let the speed of one car be x

and another car be y

Given distance = 160 km

ATQ,

➡ when the goes in the same direction

8y - 8x = 160

8(y - x ) = 160

$\large{y - x = \frac{ \large{160}}{ \large{8}} }$

y - x = 20 ........(1)

➡ when both cars goes towards each other.

then,

2x + 2y = 160

2(x + y) = 160

$\large{x + y= \frac{ \large{160}}{ \large{2}} }$

x + y = 80 ......(2)

(1) + (2)

y - x + x + y = 20 + 80

2y = 100

$\large{ y = \frac{ \large{100}}{ \large{2}} }$

$\large \bf \boxed{y \: = 50}$

putting value of y on (1)

we get,

y - x = 20

50 - x = 20

- x = 20 - 50

- x = - 30

$\large \bf \boxed{x \: = 30}$

So, speed of car one =

$\large \underline{50 km / h }$

speed of another car =

$\large \underline{30 km / h }$

THANKS