Darrin can skateboard 2 miles against a 4 mph wind in the same amount of time he skateboards 6 miles with a 4 mph wind. Find the speed Darrin skateboards with no wind.
Accepted Solution
A:
Answer:Speed = 8mphStep-by-step explanation:Speed of wind = 4mphLet speed of Darrin with no wind be "x" mphthen resultant speed of Darrin, travelling in direction of wind = (x + 4) mphUsing a result, Time = Distance travelled / Net speedTime 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)mphDarrin travel 2 miles against the wind in 6/(x + 4) hrthen Distance = speed × time 2 = ( x- 4 ) × ( 6/x + 4) 2x + 8 = 6x - 24 4x = 32 x = 8 mphTherefore speed of Darrin skateboard with no wind = 8mph