Question

Ivan and Kate live 40 miles apart. Ivan leaves his house at 8:00 a.m. and bicycles towards Kate's house at a constant speed of 12 mph. Kate leaves her house at 9:30 a.m. bicycles towards Ivan at constant speed of 16 mph. At what time will they meet?

Answer 1

Step-by-step explanation:

distance 40 m

i have taken right as +ve and left as -ve

let evan speed ve = 12 mph

kate speed vk = -16 mph

at 9 :30 am evan has traveled till

12 * 1.5 = 18 miles.

remaining distance is 40 - 18

22 miles

relative speed of evan wrt kate = ve - vk

12 - (-16)

28 miles

time taken to travel the relative distance = 22/ 28

.785 hours

i.e. 47.14 minutes

so time on clock 9:30 + 47.14 min.

10: 17: 14 AM

Answer 2

Answer:

10:17am

Step-by-step explanation:

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