Question

John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles

A- 17

B- 19

C-21

D-15

Answer 1

John's driving rate is 48.125 miles per hour. To estimate the time needed to drive 1000 miles, divide the distance by the rate, giving approximately 20.76 hours. Thus, the best estimate for the time needed is 21 hours (Option C).

Step-by-step explanation:

To estimate the total amount of time John will need to drive 1000 miles, we first find his driving rate from the information provided. John took 8 hours to drive 385 miles. We can calculate the driving rate by dividing the number of miles driven by the time it took to drive those miles.

• Driving rate = Total miles driven / Total time taken = 385 miles / 8 hours = 48.125 miles per hour

Using this driving rate, we can calculate the estimated time to drive 1000 miles.

• Time needed = Total miles to drive / Driving rate = 1000 miles / 48.125 miles per hour

Now, let's do the math:

• Time needed = 1000 / 48.125 ≈ 20.76 hours

So the best estimate for the total amount of time John will need to drive 1000 miles is close to 21 hours. Hence, the correct answer is C-21.

Answer 2

Step-by-step explanation:

Step one:

give data

time= 8hours

distance=385mile

speed=?

Step two:

let us solve for the speed

Speed= distance/time

Speed=385/8

speed=48.125miles per hour

Step three:

let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour

speed=distance/time

time=distance/speed

time=1000/48.125

time=20.779hours

approximately 21 hours