SOLUTION: With a​ tailwind, a aircraft can fly 408 miles in 3 hours. Against this same​ wind, the aircraft can fly the same distance in 4 hours. Find the effect of the wind and the avera

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Question 1206051: With a​ tailwind, a aircraft can fly 408 miles in 3 hours. Against this same​ wind, the aircraft can fly the same distance in 4 hours. Find the effect of the wind and the average airspeed of the aircraft.
The impact of wind resistance on the aircraft is ? and the average airspeed of the aircraft is ?
  
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
                     SPEED         TIME         DIST.

WITHWIND             s+w=408/3      3           408

AGAINSTWND           s-w=408/4      4           408

The rest is for you to decide ...














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s = 119 and w = 17
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The speed with the wind is plane speed plus wind speed, which is 408/3 = 136mph.

The speed against the wind is plane speed minus wind speed, which is 408/4 = 102mph.

136mph is the plane speed PLUS the wind speed; 102mph is the plane speed MINUS the wind speed; so the difference between the two speeds is twice the wind speed.

Twice the wind speed is 136-102 = 34mph; the wind speed is 17mph.

The speed of the plane is 136-17 = 119mph; or 102+17 = 119mph.
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