If a person walks at 28 km/hr instead of 20 km/hr , he would have walked 30 km more . What is the actual distance travelled by him?

Let's solve this step by step:

Step 1: Let's assume the actual distance travelled by the person is 'D' km.

Step 2: The time taken to cover this distance 'D' at a speed of 20 km/hr is 'D/20' hours.

Step 3: According to the problem, if the person walks at 28 km/hr instead of 20 km/hr, he would have walked 30 km more. So, the time taken to cover this extra 30 km at a speed of 28 km/hr is also 'D/20' hours.

Step 4: We can set up the equation from step 3 as follows: D/20 = (D+30)/28

Step 5: Solving this equation for 'D' gives us D = 210 km.

So, the actual distance travelled by the person is 210 km.

Let's solve this step by step:

Step 1: Let's assume the actual distance travelled by the person is 'D' km.

Step 2: The time taken to cover this distance 'D' at a speed of 20 km/hr is 'D/20' hours.

Step 3: According to the problem, if the person walks at 28 km/hr instead of 20 km/hr, he would have walked 30 km more. So, the time taken to cover this additional 30 km at a speed of 28 km/hr is also 'D/20' hours.

Step 4: We can set up the equation from step 3 as follows: D/20 = (D+30)/28

Step 5: Solving this equation for 'D' gives us the actual distance travelled by the person.

Cross multiply to get: 28D = 20D + 600

Step 6: Simplify to find the value of 'D': 28D - 20D = 600, so 8D = 600

Step 7: Finally, solve for 'D': D = 600 / 8 = 75 km

So, the actual distance travelled by the person is 75 km.

Let's solve this step by step:

Step 1: Let's assume the actual distance travelled by the person is 'D' km.

Step 2: The time taken to cover this distance 'D' at a speed of 20 km/hr is 'D/20' hours.

Step 3: According to the problem, if the person walks at 28 km/hr instead of 20 km/hr, he would have walked 30 km more. So, the time taken to cover this extra 30 km at a speed of 28 km/hr is also 'D/20' hours.

Step 4: We can set up the equation from step 3 as follows: D/20 = (D+30)/28

Step 5: Solving this equation for 'D' gives us D = 105 km.

So, the actual distance travelled by the person is 105 km.

Let's solve this step by step:

Step 1: Let's assume the actual distance travelled by the person is 'D' km.

Step 2: The time taken to travel this distance 'D' at a speed of 20 km/hr is 'D/20' hours.

Step 3: According to the problem, if the person walks at 28 km/hr instead of 20 km/hr, he would have walked 30 km more. So, the time taken to travel this extra 30 km at a speed of 28 km/hr is also 'D/20' hours.

Step 4: We can set up the equation from step 3 as follows: D/20 = (D+30)/28

Step 5: Solving this equation for 'D' gives us the actual distance travelled by the person.

Step 6: Multiply both sides of the equation by 20*28 to get rid of the denominators: 28D = 20D + 600

Step 7: Simplify the equation to find the value of 'D': 28D - 20D = 600, so 8D = 600

Step 8: Finally, solve for 'D': D = 600 / 8 = 75 km

So, the actual distance travelled by the person is 75 km.

Let's solve this step by step:

Step 1: Let's assume the actual distance travelled by the person is 'D' km.

Step 2: The time taken to cover this distance 'D' at a speed of 20 km/hr is 'D/20' hours.

Step 3: According to the problem, if the person walks at 28 km/hr instead of 20 km/hr, he would have walked 30 km more. So, the time taken to cover this additional distance at a speed of 28 km/hr is the same as the time taken to cover the actual distance 'D' at a speed of 20 km/hr. Therefore, we can write this as 'D/20 = (D+30)/28'.

Step 4: Now, we can solve this equation for 'D'. Multiply both sides by 20*28 to get rid of the denominators: 28D = 20D + 600.

Step 5: Simplify this to get: 8D = 600.

Step 6: Finally, solve for 'D': D = 600 / 8 = 75 km.

So, the actual distance travelled by the person is 75 km.

Sure, let's solve this step by step:

1. First, let's denote the actual distance the person walked as "D" (in km), and the time he spent walking as "T" (in hours).

2. According to the problem, we know that the person's usual speed is 20 km/hr. So, we can express the time he spent walking as T = D/20.

3. The problem also tells us that if the person walked at a speed of 28 km/hr, he would have walked 30 km more. So, we can express this hypothetical distance as D + 30 = 28T.

4. Now, we can substitute the expression for T from step 2 into the equation from step 3. This gives us D + 30 = 28(D/20).

5. Simplifying this equation gives us D + 30 = 1.4D.

6. Solving for D, we subtract D from both sides to get 30 = 0.4D.

7. Finally, dividing both sides by 0.4 gives us D = 75 km.

So, the actual distance the person walked is 75 km.