Question

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. His 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​

Answer 1

Answer:

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, times taken to covered a distance of 50 miles on his first trip = 50/x hr.

And times taken to covered 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.

Answer: (b)

$\\ \\ hope \: it \: help \: you$

Answer 2

Answer:

$first \: time \: = \: 50/x \: hour \\ </p><p>times \: take \: to \: cover \: 300 \: km \: = \: 300/3x \: hour \\ </p><p>= \: 100/x \: hour$