Question

Ernesto, the magnificent unicorn stallion, covered a distance of 50 kilometres on his first trip to Zalsazaria. On a later trip, he travelled 300 kilometres while going three times as fast. What was his new time compared with the old time?
(A.Three time as much B.The same C.A third as much D.Twice as much)

Answer 1

The new time of Ernesto, the unicorn was twice as much compared to the old time.

Option (D) Twice as much is correct.

Step-by-step explanation:

Let the velocity of the unicorn be v km/h and time is t hours

Using the formula

$\boxed{\text{Distance}=\text{Speed}\times \text{Time}}$

$50=v\times t$  .......... (1)

If the new time is t' then the new velocity = 3v

Therefore,

$300=3v\times t'$

$\implies v=\frac{100}{t'}$

Therefore, from eq (1)

$50=\frac{100}{t'}\times t$

$\implies 50t'=100t$

$\implies t'=2t$

Therefore his new time was twice as much as the previous time.

Hope the answer is helpful.

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Answer 2

Answer: The new time is two times as much as the old time.

Step-by-step explanation:

Lets be the speed to travel a distance of 50 kilometers on his first trip to Zalsazaria  .

Also, we know that $\text{Time = }\dfrac{\text{Distance}}{\text{Speed}}$

Then, $\text{Old Time}=\dfrac{50}{s}$

On a later trip, he travelled 300 kilometres while going three times as fast.

Then,

$\text{New time}=\dfrac{300}{3s}\\\\=\dfrac{100}{s}=2\times\dfrac{50}{s}=2\times\text{Old time}$

Hence, the new time is two times as much as the old time.