Question

A man walks from a to b and back in a certain time at the rate of 3 km / hr. But if he had walked from a to b at the rate of 4 km / hrs he would have taken 5 min longer. Find the distance between a and b

Answer 1

Answer:

The distance between A and B = 1 km

Step-by-step explanation:

Let the distnce between A and B be x km

Let the time taken in travelling from A to B is t hr

Then using time = distance / speed

2t = 2x/3

or t = x/3

Again according to the question

Time taken in travelling from A to B with 4 km/hr = x/4

He comes back from b to a with 3 km/hr so time taken = x/3

According to the question

x/4 + x/3 = 2t- (5/60)

or, x/4 + x/3 = 2x/3 - 1/12

or, x/4 - x/3 = -1/12

⇒ x/12 = 1/12

or x = 1 km

Therefore, the distance between A and B is 1 km.

Hope this helps.

Answer 2

Answer:

The distance between a and b = 1 km

distance between a and b b x km

Let be time taken in travelling from A to B is T

Then using then=distance/speed

2t=2x/3

T=x/3

ATQ//

time taken in travelling from A and B with 4 km/hr = x/4

he comes back from B to a with A

With 3km/hr

he comes back from B to A with 3 km/hr

time taken X/4

ATQ//

X/4+X/3=2T-(5/60)

X/4+X/3=2X/3-1/2

X/4-X/3=-1/12

X/12=1/12

X=1KM

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST ANSWER AND FOLLOW ME PLEASE AND THANK ME PLEASE BECAUSE I AM A VERY GOOD BOY