Question

Ivan and kate live 40 miles apart ivan leaves his house at 8:00 pm and cycle to kate’s house at a constant speed at 12 mph kate leaves her house at 9:30 am and cycles toward ivan at a constant speed of 16 mph at what time will kate and ivan meet.

Answer 1

Ivan and Kate will meet at 11:20 pm.

Step-by-step explanation:

To find the time when Ivan and Kate will meet, we can calculate the distance each of them travels and then compare their travel times.

Ivan travels 40 miles at a speed of 12 mph, so his travel time is

40/12 = 3.33 hours.

Kate travels at a speed of 16 mph and leaves 9.5 hours after Ivan.

Therefore, her travel time is 40/(16-12) = 10 hours.

To find the time when they will meet, we add Ivan's travel time to 8:00 pm, which gives us 11:20 pm.

So, Ivan and Kate will meet at 11:20 pm.