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A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?
- a)24 km
- b)48 km
- c)40 km
- d)15 km
Correct answer is option 'A'. Can you explain this answer?
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A train covers a distance between A and B in 48 minutes. The another t...
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A train covers a distance between A and B in 48 minutes. The another t...
To solve this problem, we need to use the formula:
Distance = Speed * Time
Let's assume the speed of the first train is S km/hr and the distance between A and B is D km.
First Train:
Speed = S km/hr
Time = 48 minutes = 48/60 = 4/5 hours
Using the formula, we can write the equation as:
D = S * (4/5) ----(1)
Second Train:
Speed = S - 6 km/hr (6 km/hr less than the first train)
Time = 60 minutes = 60/60 = 1 hour
Using the formula, we can write the equation as:
D = (S - 6) * 1 ----(2)
Now, we have two equations (1) and (2) with two variables D and S. We can solve these equations to find the values of D and S.
Solving equation (1) for D, we get:
D = (4/5)S
Substituting this value of D in equation (2), we get:
(4/5)S = S - 6
Multiplying both sides of the equation by 5 to get rid of the fraction:
4S = 5S - 30
Bringing all the terms to one side:
5S - 4S = 30
S = 30
Substituting the value of S in equation (1), we get:
D = (4/5) * 30
D = 24 km
Therefore, the distance between A and B is 24 km. Hence, the correct answer is option A.
Distance = Speed * Time
Let's assume the speed of the first train is S km/hr and the distance between A and B is D km.
First Train:
Speed = S km/hr
Time = 48 minutes = 48/60 = 4/5 hours
Using the formula, we can write the equation as:
D = S * (4/5) ----(1)
Second Train:
Speed = S - 6 km/hr (6 km/hr less than the first train)
Time = 60 minutes = 60/60 = 1 hour
Using the formula, we can write the equation as:
D = (S - 6) * 1 ----(2)
Now, we have two equations (1) and (2) with two variables D and S. We can solve these equations to find the values of D and S.
Solving equation (1) for D, we get:
D = (4/5)S
Substituting this value of D in equation (2), we get:
(4/5)S = S - 6
Multiplying both sides of the equation by 5 to get rid of the fraction:
4S = 5S - 30
Bringing all the terms to one side:
5S - 4S = 30
S = 30
Substituting the value of S in equation (1), we get:
D = (4/5) * 30
D = 24 km
Therefore, the distance between A and B is 24 km. Hence, the correct answer is option A.
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A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?a)24 kmb)48 kmc)40 kmd)15 kmCorrect answer is option 'A'. Can you explain this answer?
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A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?a)24 kmb)48 kmc)40 kmd)15 kmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?a)24 kmb)48 kmc)40 kmd)15 kmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A train covers a distance between A and B in 48 minutes. The another train having speed 6 km/hr. less than the first train covers the distance B to A in 60 minutes. Find the distance between A and B?a)24 kmb)48 kmc)40 kmd)15 kmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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