Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. H

Question

3 years ago

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Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. H

is new time compared with the old time was:
(a) three times as much, (b) twice as much, (c) the same, (d) half as much, (e) a third as much
please explain your thought process

Mathematics

1 answer:

Sergeeva-Olga [200] · Answer 1 · 2022-04-20T21:46:33+03:00

Answer:

The answer is b. But you asked for the thought process so...

Step-by-step explanation:

Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.

And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Have a great day :)