Question

Jaden drove 200 miles in 4 hours. At this speed, how long with it take him to drive 300 miles? How long will it take him to drive 500 miles?Take him to drive 500 miles?

Answer 1

Answer:

10 hours to drive 500 miles  

6 hours to  drive 300 miles  

Step-by-step explanation:

Hi, to answer this we have to calculate the speed rate first:

Speed = distance /time

Speed = 200 miles / 4 hours = 50 miles per hour

So, to find the time for each number of miles:

Time = distance /speed  

For 500 miles:

t = 500/50 = 10 hours

For 300 miles

t = 300/50 =6 hours  

So, in conclusion:

It will take 10 hours to him drive 500 miles  

It will take 6 hours to him drive 300 miles  

Answer 2

Answer:

a) 6 hours

b) 10 hours

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is giving by the equation:

$S=\frac{d}{t}$, where s is the speed, d is the distance and t is the time taken.

a) Jaden drove 200 miles in 4 hours

Speed $S=\frac{d}{t}=\frac{200miles}{4hours} =50miles/hour$. Therefore Jaden drove at  speed of 50 miles/hour. If he continues at this speed, for 300 miles,

$S=\frac{d}{t}\\t=\frac{d}{S} \\t=\frac{300 miles}{50miles/hour} =6hours$

The time it would take him to drive 300 miles is 6 hours

b) If he continues at this speed, for 500 miles

$S=\frac{d}{t}\\t=\frac{d}{S} \\t=\frac{500 miles}{50miles/hour} =10hours$

he time it would take him to drive 500 miles is 10 hours