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lana [24]
3 years ago
13

Time varies inversely with speed if the distance is constant. It takes James 4 hours to get to his destination when he travels a

t 65 miles per hour. How many minutes would he have saved if he drove the same distance 15 per hour faster?
Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

Step-by-step explanation:

Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce

t = k/s

Where t = time

k = constant of inverse proportionality

s = speed

It takes James 4 hours to get to his destination when he travels at 65 miles per hour

4 = k/65

k = 65×4 = 260

t = 260/s

If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.

The time it will take him is

t = 260/s

t = 260/80 = 3.25 hours

The amount of time he would save is

4 hours - 3.25 hours = 0.75 hours

Converting 0.75 hours to minutes, we multiply by 60

Amount if time saved in minutes = 0.75×60 = 45 minutes

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