SOLUTION: An airplane has to travel a round trip Manila to Singapore and back (1485 mi apart) in a total time of 7 hours and 10 minutes. The plane from Manila to Singapore is flying with a h

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Question 1114679: An airplane has to travel a round trip Manila to Singapore and back (1485 mi apart) in a total time of 7 hours and 10 minutes. The plane from Manila to Singapore is flying with a headwind of 70 mph and from Singapore to Manila with a tailwind of 60 mph. What is the velocity of the plane in still air.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
              SPEED            TIME           DISTANCE

M to S         r-70            1485%2F%28r-70%29      1485       

S to M         r+60            1485%2F%28r%2B60%29      1485

TOTAL                        7%261%2F6

Manila to Singapore - headwind
Singapore to Manila - tailwind

Solve the equation for sum of the times, 1485%2F%28r-70%29%2B1485%2F%28r%2B60%29=7%261%2F6.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
The correct equation is

1485%2F%28r-70%29 + 1485%2F%28r%2B60%29 = 7%261%2F6.


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It is a typical  "tailwind and headwind"  Travel  and  Distance word problem.

See the lessons
    - Wind and Current problems
    - Wind and Current problems solvable by quadratic equations
    - Selected problems from the archive on a plane flying with and against the wind
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the section "Word problems",  the topic "Travel and Distance problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.