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 ?
Answers
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.
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Answer:
Explanation:
Given :-
Speed in 1st journey = 4 km/h
Speed in 2nd journey = 3 km/h
To Find :-
Distance between A and B.
Formula to be used :-
Time = Distance/Speed
Solution :-
Let the distance between A and B be x km.
And time taken be t hours.
Time = Distance/Speed
⇒ 2t = 2x/3
⇒ t = x/3 ...... (i)
Time taken 1st journey = x/4
And in 2nd journey = x/3
Now,
⇒ x/4 + x/3 = 2t- (5/60)
⇒ x/4 + x/3 = 2x/3 - 1/12 [From (i)]
⇒ x/4 - x/3 = - 1/12
⇒ x/12 = 1/12
⇒ x = 12/12
⇒ x = 1 km
Hence, the distance between A and B is 1 km.