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?
Question
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?
Solution
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.
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