SOLUTION: A plane traveled 644 miles each way to Toronto and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 14 hours. What is th
Algebra.Com
Question 1155140: A plane traveled 644 miles each way to Toronto and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 14 hours. What is the speed of the plane in still air? What is the speed of the wind?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
r, speed of plane with no wind
w, wind speed
G, the time going
2G, the time back
D, one-way distance
-
G=7
D=644
.
.
-------speed for plane when no wind
-------speed of wind
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
The speed with the wind was 644/7 = 92mph; the speed against the wind was 644/14 = 46mph.
Solve the rest of the problem using logical reasoning and simple arithmetic.
The speed of the wind added to the speed of the plane is 92mph; the speed of the wind subtracted from the speed of the plane is 46mph.
That means the speed of the plane is halfway between 46mph and 92mph: 69mph.
And that means the speed of the wind was 69-46 = 23mph.
RELATED QUESTIONS
A plane traveled 616 miles each way to Toronto and back. The trip there was with the... (answered by josgarithmetic)
a plane traveled 514.8 miles each way to Toronto and back. The trip was with the wind. It (answered by josgarithmetic)
A plane traveled 644 miles to Austin and back. The trip there was with the wind. It took... (answered by Alan3354,lwsshak3)
a plane traveled 630 miles to toronto and back. the trip there was with the wind. it took (answered by Alan3354)
A plane traveled 1260 miles each way to Rome and back. The trip there was with the wind.... (answered by greenestamps,josgarithmetic)
A plane traveled 1100 miles each way to Cairo and back. The trip there was with the... (answered by josgarithmetic,greenestamps)
A plane traveled 630 miles to Baltimore and back. The trip there was with the wind. It... (answered by TimothyLamb)
A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It... (answered by lwsshak3)
a plane traveled 1078miles to Abuja and back. the tip there was with the wind. it took 7... (answered by Alan3354)