A covers a certain distance at a certain speed. If he covers half of the…
2020
A covers a certain distance at a certain speed. If he covers half of the distance in three times the time, then the ratio of this speed to the original speed is:
- A.
1:4
- B.
1:6
- C.
4:5
- D.
6:1
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Correct answer: B
Let:
Original distance = d
Original speed = s
Original time = t
Using the formula:
Speed = Distance / Time
So,
s = d/t
Now, according to the question:
New distance = d/2
New time = 3t
Let the new speed be s₁.
Then,
s₁ = (d/2)/(3t)
= d/6t
But,
s = d/t
Therefore,
s₁/s = (d/6t)/(d/t)
= 1/6
So,
s₁ : s = 1 : 6