Answer:
6.5 mph
Explanation:
Given that :
Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no
Wind speed = 2mph
Let time taken to skateboard = t
Speed = distance / time
Distance of 3.375miles against 2 mph wind
Let skate speed = x
skate speed - wind speed=
(3.375 miles / t) + 2mph = x - - - (1)
Distance of 6.375miles with 2 mph wind
(6.375 miles / t) - 2 mph = x - - - - (2)
Equate (1) and (2)
(6.375/ t) - 2 = (3.375/ t) + 2
(6.375 - 3.375) / t = 2 + 2
3 / t = 4
3 = 4t
t = 3/4
t = 0.75
Hence, speed without wind will be :
(3.375 miles / 0.75) + 2mph = x
4.5mph + 2mph = 6.5 mph