Question

Points A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. Find their speeds.

Answer 1

Step-by-step explanation:

hope this can help you...

Answer 2

Let the speed of faster car be $x$ $km/h$ and speed of slower car be $y$ $km/h$.

Here they are covering a actual distance of 90 km.

When they travel in the same direction, the relative speed becomes $(x - y)$ $km/h$ and time taken is 9 hrs.

As we know the formula of Speed:

$Speed = Distance/Time$

$(x-y) = \frac{90}{9}\\\Rightarrow (x-y) = 10 .................. (1)$

Similarly, hen they travel in opposite direction, the relative speed becomes $(x+y)$ $km/h$ and time taken is 9/7 hrs.

Using $Speed = Distance/Time$ :

$(x+y) = \frac{90}{\frac{9}7}}\\\Rightarrow (x+y) = 70 .................. (2)$

When we solve equations $(1) \text{ and } (2)$, we get $x = 40 km/h \text{ and }y = 30 km/h$.

So, the speeds are $40 km/h \text{ and }30 km/h$.