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!
A car travelled at an average speed of 72km/h how many km does it cover in 4.5hrs
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.