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?
Answers
Answer:
His new time is twice as compared to the old time.
Step-by-step explanation:
Let the speed of Stallion for his first trip be “S” km/hr
Then the speed of Stallion for his later trip will be “3*S” km/hr
For trip 1:
Distance travelled = 50 km
Let the time taken be “t1” hr
∴ Speed = Distance / time
⇒ S = 50/t1 …. (i)
For trip 2:
Distance travelled = 300 km
Let the time taken for this case be “t2” hr.
∴ 3*S = 300/t2
Substituting the value of S from (i)
⇒ 3 * [50/t1] = 300/t2
⇒ 150/t1 = 300/t2
⇒ t2 = 2 * t1
Answer:
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
.......... (1)
If the new time is t' then the new velocity = 3v
Therefore,
Therefore, from eq (1)
Therefore his new time was twice as much as the previous time.
Hope the answer is helpful.
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