Question

King skateboard 1.05 miles against a 2.4 mph wind in the same amount of time he skateboards 3.45 miles with a 2.4 mile wind find the speed neck and skateboard with no wind

Answer 1

Speed = 8mph

Explanation:

Speed of wind = 4mph

Let speed of Darrin with no wind be "x" mph

then resultant speed of Darrin, travelling in direction of wind = (x + 4) mph

Using a result, Time = Distance travelled / Net speed

Time taken by Darrin to travel 6miles in direction of wind = 6 / (x + 4)

When Darrin travel in opposite direction of wind, then its net speed = (x - 4)mph

Darrin travel 2 miles against the wind in 6/(x + 4) hr

then Distance = speed × time

2 = ( x- 4 ) × ( 6/x + 4)

2x + 8 = 6x - 24

4x = 32

x = 8 mph

Therefore speed of Darrin skateboard with no wind = 8mph