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:

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, 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)

Answer 2

$\color {red}\huge\bold\star\underline\mathcal{Question:-}$ we have compare new time with old time .

$\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:Answer}}}}}}}}}}$

Let his speed First was = x miles / hour .

Distance he travel in first trip = 50 miles

we know that ,

$\large\red{\boxed{\sf </strong><strong>Time</strong><strong>={\frac{</strong><strong>D</strong><strong>istance}{</strong><strong>Speed</strong><strong>}}}}$

so, his Time to cover first trip was :---

$( \frac{50}{x}) \: hours$

Now he travel 300 miles with three times his initial speed . So, his new speed = 3x .

Time now :-----

$( \frac{300}{3x} ) = ( \frac{100}{x}) hours$

So, Now His time will be = =

$\frac{( \frac{100}{x}) }{( \frac{50}{x}) } = 2 \: times \:$

$\huge\underline\mathfrak\green{Hope\:it\:Helps\:You}$