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Ravi covers a certain distance by his car. If he moved 3 km/h faster then he takes 4 hour less & if he had moved 2 km/h slower then he would have taken 4 hours more. Find the distance covered.
- a)432km
- b)240km
- c)360km
- d)540km
Correct answer is option 'B'. Can you explain this answer?
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We can set up an equation to solve this problem. Let's assume Ravi's speed is x km/h.
The time it takes for Ravi to cover the distance at speed x is given by:
Time = Distance/Speed
Let's say the distance Ravi covers is D km.
So, the time taken at speed x is:
Time1 = D/x
Now, if he moves 3 km/h faster, his speed becomes (x + 3) km/h.
The time taken at speed (x + 3) is given by:
Time2 = D/(x + 3)
According to the problem, Time2 is 4 hours less than Time1.
Time2 = Time1 - 4
Now, we can substitute the expressions for Time1 and Time2:
D/(x + 3) = D/x - 4
To solve for x, we can cross multiply:
Dx = D(x + 3) - 4D
Dx = Dx + 3D - 4D
Dx - Dx = -D
0 = -D
This equation does not provide any information about x. Therefore, there is not enough information given in the problem to solve for Ravi's speed.
The time it takes for Ravi to cover the distance at speed x is given by:
Time = Distance/Speed
Let's say the distance Ravi covers is D km.
So, the time taken at speed x is:
Time1 = D/x
Now, if he moves 3 km/h faster, his speed becomes (x + 3) km/h.
The time taken at speed (x + 3) is given by:
Time2 = D/(x + 3)
According to the problem, Time2 is 4 hours less than Time1.
Time2 = Time1 - 4
Now, we can substitute the expressions for Time1 and Time2:
D/(x + 3) = D/x - 4
To solve for x, we can cross multiply:
Dx = D(x + 3) - 4D
Dx = Dx + 3D - 4D
Dx - Dx = -D
0 = -D
This equation does not provide any information about x. Therefore, there is not enough information given in the problem to solve for Ravi's speed.
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