Final answer:
The two planes traveling towards each other from cities 2975 km apart at speeds of 440 km/hr and 410 km/hr will meet after 3.5 hours.
Step-by-step explanation:
Two planes are traveling towards each other from cities 2975 km apart, with speeds of 440 km/hr and 410 km/hr, respectively. To find out how many hours they will travel before meeting, we can add the speed of both planes and then divide the total distance by this sum.
Speed of first plane = 440 km/hr
Speed of second plane = 410 km/hr
Combined speed = 440 km/hr + 410 km/hr
= 850 km/hr
Total distance = 2975 km
To find the time, we use the formula:
Time = Distance / Speed
Time = 2975 km / 850 km/hr
After calculating, we find that the time it takes for them to meet is:
Time = 3.5 hours
Therefore, the two planes will meet after 3.5 hours.