John and Susan leave a neighborhood restaurant after having

John and Susan leave a neighborhood restaurant after having dinner. They each walk to their respective homes. John\'s home is 3120 feet due north of the restaurant and Susan\'s home is 2018 feet due south of the restaurant. John leaves at 7:30 pm traveling at a constant speed of 334 feet per minute and Susan leaves at 7:30 pm traveling at a constant speed of 219 feet per minute. a. Which of the following diagrams best represents this situation at 7:31 pm? 3120 feet 3120 feet 2018 feet 2018 feet Susan\'s John\'s house restaurant restaurant 34 f 3120 feet 3120 feet 2018 feet 2018 feet Johns Susan\'s house house restaurant restaurant 219feet 334 feet-, OB

Solution

you already solved upto part b) so i will continue from c)

Ans(c):
speed of John= 334 ft/min
speed of Susan= 219 ft/min
as they are moving in opposite direction so effective displacement will be (334+219) = 553 ft/min
Hence answer is 553 ft

Ans(d):
we just have to multipliply above answer by time (t)
so distance d is given by
d=553t

Ans(e):
time taken by John to reach home = distance/speed=3120/334=9.34 min
time taken by Susan to reach home = distance/speed=2018/219=9.21 min
Hence Susan will reach first.

Ans(f):
we subtrat time for both to find the answer
9.34-9.21=0.13 min