from point a postman delivered a letter to point b in half hour. in back way he reduced speed by 1km/h and gets back in 36 min. find the speed of postman from a to b

the speed of postman from A to B is 6 km/hr

Step-by-step explanation:

Let x represent the speed of the postman when moving from A to B.

From point A, the postman delivered a letter to point B in half hour.

Distance = speed × time

It means that

Distance from A to B = 0.5 × x = 0.5x

In back way he reduced speed by 1km/h and gets back in 36 min. It means that his speed on returning back would be (x - 1)km/h

Converting 36 minutes to hour, it becomes

36/60 = 0.6 hours

Distance from B to A = 0.6(x - 1)

Since distance from A to B = distance from B to A, then

0.5x = 0.6(x - 1) = 0.6x - 0.6

0.6x - 0.5x = 0.6

0.1x = 0.6

x = 0.6/0.1 = 6

x=half

step-by-step explanation: