SOLUTION: If you drive 30 minutes at 35 mph to get to school, how long would it take if you drove 40 mph?

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Question 1199192: If you drive 30 minutes at 35 mph to get to school, how long would it take if you drove 40 mph?

Found 3 solutions by josgarithmetic, greenestamps, math_tutor2020:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
As long as the distance would be the same, , and you just solve for this time x in hours.

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

The distance is the same; if the speed increases by a factor of 40/35 = 8/7, the time decreases by the same factor.

30/(8/7) = 30*(7/8) = 210/8 = 26.25

ANSWER: 26 1/4 minutes

Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!

30 min = 30/60 = 0.5 hours

We'll use rate and time to find the distance.
distance = rate*time
distance = (35 mph)*(0.5 hr)
distance = 17.5 miles

Now use the faster speed to determine how long it would take.
This assumes you drive the same distance.

distance = rate*time
time = distance/rate
time = (17.5 miles)/(40 mph)
time = 0.4375
That's the amount of time in hours.

Multiply by 60 to find its corresponding time in minutes.
0.4375*60 = 26.25

Answer: 26.25 minutes
This is equivalent to 26 minutes + 15 seconds, because 0.25 minutes = 0.25*60 = 15 seconds.