At 10:30 am two planes leave to Houston, one flying east 560km/h and the other flying west at 640 km/h. At what time will they both ne 2100km apart.
They would be flying for the same amount of time , t hours
distance covered by first = 560t km
distance covered by second = 640t km
560t + 640t = 2100
1200t = 2100
t = 1.75 hrs
or 1 hour and 45 minutes
so at 10:30 + 1:45 or 12:15 pm they will be 2100 km apart
To find out when the two planes will be 2100 km apart, we can use the formula:
Distance = Speed × Time
Let's assume that the time when the planes leave is denoted as "t" hours.
Since one plane is flying east at 560 km/h and the other plane is flying west at 640 km/h, their combined speed is:
560 km/h + 640 km/h = 1200 km/h
Now, we can use the formula to find the time it takes for the planes to be 2100 km apart:
Distance = Speed × Time
2100 km = 1200 km/h × t hours
Simplifying the equation, we have:
t hours = 2100 km / 1200 km/h
t hours = 1.75 hours
To convert 1.75 hours to minutes and seconds, we multiply it by 60:
1.75 hours × 60 minutes/hour = 105 minutes
Therefore, the time it takes for the planes to be 2100 km apart is 1 hour and 45 minutes.
To determine the exact time they will be 2100 km apart, we need to consider the time when they both depart, which is 10:30 am.
Adding 1 hour and 45 minutes to 10:30 am, we get:
10:30 am + 1 hour and 45 minutes = 12:15 pm
Therefore, the planes will be 2100 km apart at 12:15 pm.