SOLUTION: Plane B is flying 55mph faster than Plane A. Find the time it takes for Plane A to travel 1800 miles if it takes Plane B the same amount of time to travel 1965 miles.

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Question 1124025: Plane B is flying 55mph faster than Plane A. Find the time it takes for Plane A to travel 1800 miles if it takes Plane B the same amount of time to travel 1965 miles.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Plane B is flying 55mph faster than Plane A.
if plane B is flying v=xmph, then plane A is flying v=%28x-55%29mph
for time t

Find the time it takes for Plane A+to travel 1800 miles if it takes Plane B the same amount of time to travel 1965 miles.
distance formula: d=v%2At
=>t=d%2Fv
for Plane A to travel d=1800mil will take
t=1800%2F%28x-55%29 ....eq.1
if it takes Plane B the same amount of time to travel 1965mil, we have
t=1965%2Fx ......eq.2
from eq.1 and eq.2:
1800%2F%28x-55%29=1965%2Fx
1800x=1965%28x-55%29
1800x=1965x-108075
108075=1965x-1800x++
108075=165x+
x=655mph+
so,
x=655mph -> rate of Plane B
then
x-55=600mph -> rate of Plane A

for Plane A to travel d=1800mil will take
d=v%2At
1800mil=600%28mil%2Fh%29%2At
t=1800mil%2F600%28mil%2Fh%29
t=3h ->the time it takes for Plane A+to travel 1800 miles
check time for plane B:
1965mil=655%28mil%2Fh%29%2At
t=1965mil%2F655%28mil%2Fh%29
t=3h -> so, proves that the time is same


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Plane B is flying 55mph faster than Plane A. Find the time it takes for Plane A to travel 1800 miles if it takes Plane B the same amount of time to travel 1965 miles.
Let T be the time taken by both

Then we get the following SPEED equation: matrix%281%2C3%2C+%221%2C800%22%2FT%2C+%22=%22%2C+%221%2C965%22%2FT+-+55%29

1,800 = 1,965 - 55T -------- Multiplying by LCD, T

1,800 - 1,965 = - 55T

- 165 = - 55T

T, or time taken by both = highlight_green%28matrix%281%2C4%2C+%28-+165%29%2F%28-+55%29%2C+%22=%22%2C+3%2C+hours%29%29

That's all!! Nothing complex!!