Question

Two horses ran from the same place at the same time,one horse ran at a speed of 16 m/sec and the other ran at a speed of 18m/sec. How far apart would they be in 1 minute?In 5 minutes? In 8 minutes?

Answer 1

120m in 1 min

600m in 5 min

960m in 8 min

Answer 2

1 minute = 1080 - 960 = 120 m

5 minutes = 5400 - 4800 = 600 m

8 minutes = 8640 - 7680 = 960 m

Explanation:

I think the easiest way is to just see how far they get at each time. So I'm going to go one horse at a time.

16 m/s

1 minute = 60 seconds, every second is 16 meters so 16 m/s * 60 s = 960 m

5 minutes = 300 seconds so 16 m/s * 300 s = 4800 m

8 minutes = 480 seconds, 16 m/s * 480 s = 7680 m

I also want to point out that unites cancel out. m/s * s is kinda like variables so the seconds being multiplied by m/s cancels witht eh seconds in the denominator.

Now the next horse

18 m/s

1 minute totals to 1080 m

5 minutes = 5400 m

8 minutes = 8640 m

Now we take the differences of each time

1 minute = 1080 - 960 = 120 m

5 minutes = 5400 - 4800 = 600 m

8 minutes = 8640 - 7680 = 960 m

Another way to do this is to take the difference of speed and then multiply that by the time. so 18-16 = 2, then multiply each time by 2. For me it just makes more intuitive sense the way I showed.