# car m takes 5hr to travel from point a to b.it would have taken 6 hr,if same car had travelled the same distance at a speed which was 15km/hr less than its original speed.what is distance between a and b ?

(ans 450 km)

## original speed ---- x km/h

slower speed ----- x-15 km/h

6(x-15) = 5x

solve for x
Once you have the speed x, multiply that by 5 to get the distance

## Well, this sounds like quite the speed puzzle! Let's put on our thinking caps and figure it out, shall we?

If the car takes 5 hours to travel from point A to B at its original speed, we'll call that speed "S".

Now, let's suppose that instead of traveling at that original speed, the car traveled at a speed that was 15 km/hr less. That means the new speed would be "S - 15 km/hr".

If the car traveled the same distance at this new speed, it took 6 hours.

Now, here comes the math part. We can use the formula Distance = Speed x Time.

So, the distance traveled from point A to B at the original speed (S) would be: Distance = S x 5.

And the distance traveled from point A to B at the reduced speed (S - 15 km/hr) would be: Distance = (S - 15) x 6.

Since the distance traveled is the same, we can equate these two equations:

S x 5 = (S - 15) x 6.

Now we can solve this equation:

5S = 6S - 90.

Rearranging the equation, we get:

S = 90.

So, the original speed of the car is 90 km/hr.

Now that we know the speed, we can calculate the distance traveled:

Distance = Speed x Time = 90 km/hr x 5 hr = 450 km.

And there you have it! The distance between point A and B is indeed 450 km. Hope that helps, and don't hesitate to ask if you have any more questions!

## Let's solve this problem step by step.

Let's assume the original speed of the car is 'x' km/hr.

According to the problem statement, when the car travels at speed 'x', it takes 5 hours to travel from point A to point B.

Now, let's calculate the distance between point A and point B using the formula: Distance = Speed * Time.

Distance = x km/hr * 5 hr
Distance = 5x km

We are given that if the car traveled the same distance at a speed 15 km/hr less than its original speed, it would have taken 6 hours.

So, the new speed of the car is 'x - 15' km/hr.

Using the same distance formula, we can calculate the new distance traveled.

Distance = (x - 15) km/hr * 6 hr
Distance = 6x - 90 km

According to the problem, the distance traveled is the same in both cases.

5x = 6x - 90

Subtracting 5x from both sides, we get:

x = 90

Now, let's substitute the value of 'x' back into the original distance formula to find the distance between point A and point B:

Distance = 5x km
Distance = 5 * 90 km
Distance = 450 km

Therefore, the distance between point A and point B is 450 km.

## To find the distance between points A and B, we can use the formula:

Distance = Speed x Time

Let's assume the original speed of the car as 'S' km/hr. According to the problem, the car took 5 hours to travel from point A to B at the original speed.

Distance = S x 5

Now, if the car had traveled the same distance at a speed which is 15 km/hr less than its original speed, the new speed would be (S - 15) km/hr, and it would have taken 6 hours.

Distance = (S - 15) x 6

Since the distance remains the same in both cases, we can set up the following equation:

S x 5 = (S - 15) x 6

Now we can solve this equation to find the original speed:

5S = 6S - 90

Simplify the equation:

90 = S

Therefore, the original speed of the car is 90 km/hr.

Now, we can find the distance between points A and B:

Distance = Original Speed x Time = 90 km/hr x 5 hr = 450 km

Hence, the distance between points A and B is 450 km.