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

10 hours to drive 500 miles

6 hours to drive 300 miles

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

a) 6 hours

b) 10 hours

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=(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=(d)/(t)=(200miles)/(4hours) =50miles/hour`. Therefore Jaden drove at speed of 50 miles/hour. If he continues at this speed, for 300 miles,

`S=(d)/(t)\\t=(d)/(S) \\t=(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=(d)/(t)\\t=(d)/(S) \\t=(500 miles)/(50miles/hour) =10hours`

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