Question

if i walk with 30 miles/hr i reach 1 hour before and if i walk with 20 miles/hr i reach 1 hour late. find the distance between 2 points and the exact time of reaching destination is 11 am then find the speed with which it walks.

Answer 1

aise hi hona chahiye

Answer 2

Answer:

Distance between two points would be 120 miles.

Speed with he walks = 24 mph

Explanation:

Let use suppose actual time to reach from one point to another point be t hours.

Let us suppose distance between two point be d miles.

$\therefore \text{Actual speed}=\frac{d}{t}$

Formula:

$\text{Distance}=\text{Speed}\times \text{time}$

Case 1: If speed with 30 mile per hour then reach 1 hour before

Time taken by case 1 would be t-1

$d=30\times (t-1)$

Case 2: If speed with 20 mile per hour then reach 1 hour before

Time taken by case 2 would be (t+1) hours.

$d=20\times (t+1)$

As we know distance in both case must be same.

So, 30(t-1)=20(t+1)

Now we solve for t and we get

30t-30=20t+20

30t-20t=20+30

10t=50

t=5 hours.

Substitute t in distance equation. d=30(t-1)

d=30(5-1)=120 miles.

Thus, Distance between two points would be 120 miles.

$\therefore \text{Actual speed}=\frac{120}{5}\Rightarrow 24\text{ mph}$

Thus, Speed with he walks = 24 mph