Superman and flash are running around the world in opposite directions. Superman can go around the world in 2.5 hours, and Flash can do the same in 1.5 hours. Assuming they start at the same time and place, how many times will they pass each other going in opposite directions in a 24 hour period?
I don't know what to do so I tried to calculate when they meet first:
speed superman=1world/2.5h
speed flash=1world/1.5h
they meet when it equals 1 world we add their distances
we know they start at the same time. x is the time that passed til they meet.
(1world/2.5h)x+(1world/1.5h)x=1world
x(4world/3.75h)=1world
x=0.9375h
I dont know how to continue.
You correctly calculated that the pass each other every 15/16 of an hour
so, what is 24 รท 15/16 ?
it gives 25.6. does it mean they pass each other 25 times?
To find out how many times Superman and Flash pass each other going in opposite directions in a 24-hour period, you need to find the number of times they meet within that timeframe.
Let's break it down step by step:
1. The time it takes Superman to go around the world is 2.5 hours, and the time it takes Flash is 1.5 hours.
2. Let's assume that they both start at the same time and place.
3. We've already calculated that they will meet for the first time after 0.9375 hours.
4. Now, let's figure out how many times they will meet in a 24-hour period.
- Superman completes one rotation every 2.5 hours.
- So, within 24 hours, Superman completes 24/2.5 = 9.6 rotations (round it down to 9).
- Flash completes one rotation every 1.5 hours.
- So, within 24 hours, Flash completes 24/1.5 = 16 rotations.
5. Since they start and end at the same time, the number of times they will meet in a 24-hour period is the least common multiple (LCM) of 9 and 16.
6. The LCM of 9 and 16 is 144.
Therefore, Superman and Flash will pass each other going in opposite directions 144 times in a 24-hour period.
To find out how many times Superman and Flash will pass each other in a 24-hour period, you need to determine the number of intervals during which they will meet.
Since you've already calculated the time it takes for Superman and Flash to meet for the first time as 0.9375 hours (or 56.25 minutes), you can use this information to find out how many meetings they will have in a 24-hour period.
In one hour, Superman completes one journey around the world, so he will meet Flash once every 0.9375 hours. In 24 hours, there are 24/0.9375 = 25.6 intervals of 0.9375 hours. However, since we want to consider full meetings, we will round down to the nearest whole number.
Therefore, Superman and Flash will meet each other in opposite directions 25 times in a 24-hour period.