a boat can travel 8 miles downstream in the same amoun tof time it can travel 6 miles upstream. the speed of the boat in still water is 14 mph. find the speed of the current?

Question

hero · Answer

d = rt
r = b±w
d = (b±w)t

8 = (14+w)t
8 = (14-w)t

8 = 14t + wt
8 = 14t - wt

wt = 8 - 14t
wt = 14t - 8

wt = wt
8-14t = 14t - 8

16 = 28t
16/28 = t
4/7 = t

4/7 hrs

4/7 of 60 min ≈ 34 min

t ≈ 34

8 = (14-w)4/7
8 = 8 - 34w

34w = 8 - 8
34w = 0
w = 0/34
w = 0

Thus the speed of the current is zero, which makes sense because that's the only possible way a boat can travel at the same speed up and downstream in the same time.

hero · Answer

@shivraj