Question

convert the following speed in m/s - 36 km/hr​

Answer 1

Answer:

A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village?

Let the distance is D

While going with the speed of 25kmph

Formula

Speed=Distance/Time

Speed=25kmph

Distance=D

So,Time=D/25

Similarly, for return journey

The distance will be same as he returns from post office to village

Time=D/4

Now,Total time is given and we have time of onward and return Journey

Add this two time and equate with given time

D/25+D/4=5 hrs 48 Min………….(1)

5hrs 48min can be written as

48min=48/60=4/5hrs

5hrs adding in this makes 5+4/5=29/5…….(2)

From (1) and (2)

D/25+D/4=29/5

29D/100=29/5

D=(29/5)*(100/29)

D=20

Answer is 20Km

So Onward 20kmph speed takes 48min to cover 20Km distance

Return 4kmph speed takes 5hrs to cover 20Km distance

So total time is 5hrs 48min.

Hence proved

Answer-20Km