Question

31. A vehicle at A moves with speed
60 km/hr towards B. Another vehicle
at B moves with speed 50 km/hr
towards A. If A and B are separated
by the distance of 165 kms, then
they will meet at the distance of
kms from A.​

Answer 1

If A and B are separated by a distance of 165 km, then they will meet at a distance of 90 km from A.

Step-by-step explanation:

The speed of the vehicle while moving from A to B = 60 km/hr

The speed of another vehicle while moving from B to A = 50 km/hr

The distance between A and B = 165 km

Let both the vehicle meet from point A at “x” km.

So, the vehicle travelling from point A will cover a distance of x km and the vehicle travelling from point B cover a distance of (165 - x) km.

Since the meeting moment of time for both, the vehicles will be same, hence we can write the equation as,

$\frac{x}{60} = \frac{165 - x}{50}$ …… [Formula: Time = Distance/Speed]

⇒ 50x = 9900 – 60x

⇒ 60x + 50x = 9900

⇒ 110x = 9900

⇒ x = 9900/110

⇒ x = 90 km

Thus, the vehicles will meet at a distance of 90 km from A.

-----------------------------------------------------------------------------------------------

Also View:

An athlete runs around a circular track 8 times, covering a distance of 4km .find the radius of the circular track giving your answr in meters and correct to 2 decimal places.

https://brainly.in/question/11556437

It took a car 6 hours to cover the distance between points A and B with the speed of 50mp/h. How long will it take a bus to cover the same distance, if it travels at 40mp/h?

https://brainly.in/question/13203194

Tracey ran to the top of a steep hill with an average pace of 6 miles per hour she took the exact same trail back down. to her relief the decend was much faster. the average speed rose to 14 miles per hour if entire journy took tracey 1 hour to complete and she did not stop anywhere what is the length of the trail in miles in miles one way.

https://brainly.in/question/8218417