ivan and kate live 40 miles apart. ivan leaves his house at 8:00 a.m. and cycles toward kate's house at a constant speed of 12 mph. kate leaves her house at 9:30 a.m. and cycles toward ivan at a constant speed of 16 mph. at what time will kate and ivan meet? round your answer to the nearest minute.



Answer :

Time is 8:00 am plus 2.29 hours to get to 10:00 am, 0.29 minutes to go to 10:17 am, and 0.4 seconds to get to 10:17:24 am.

What is miles?

mile, any of several distance measurements, including the statute mile (5,280 ft) (1.609 km). It derives from the mille passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

Detailed explanation:

Ivan travels at 12 mph.

Kate travels at a 16 mph.

Distance covered traveled = 40 miles from the point of separation

8:00 a.m., Ivan leaves his home, and at 9:30 a.m., Kate does the same.

If Kate's time required is t – 1.5 and t is the amount of time needed for Ivan to catch up,

To date,

Distance Equals Speed x Time

Kate's travel distance plus Ivan's travel distance equals the total distance.

40 = t x 12 +  ( t-1.5 ) x 16

40  = 28 t - 24

 28t = 64

t=2.29 hours

So, 2.29 hours after Ivan's start, they finally meet.

Time is 8:00 am plus 2.29 hours to get to 10:00 am, 0.29 minutes to go to 10:17 am, and 0.4 seconds to get to 10:17:24 am.

The meeting will begin at 10:17:24.

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540068

Answer:

10:17 a.m

Explanation:

My RSM teacher said so.

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