SOLUTION: A plane flies from its base to a fire and back. Assuming it travels in a straight line, it travels outward at 240 km/h, and returns at 320 km/h. If the plane was away for 35 minute

Question 940274: A plane flies from its base to a fire and back. Assuming it travels in a straight line, it travels outward at 240 km/h, and returns at 320 km/h. If the plane was away for 35 minutes, find the distance, from the base to the fire.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plane flies from its base to a fire and back.
Assuming it travels in a straight line, it travels outward at 240 km/h, and returns at 320 km/h.
If the plane was away for 35 minutes, find the distance, from the base to the fire.
:
let d = one way distance
:
Write a time equation
time out + time back = 35 min
+ = (converted min to hrs)
simplify equation, multiply equation by 10
+ =
Multiply equation by a common multiple, 384
384* + 384* = 384*
Cancel the denominators, you have
16d + 12d = 64(35)
28d = 2240
d = 2240/28
d = 80 km from base to fire
:
:
see if this checks out, find the actual time each way
80/240 = .333 hrs
80/320 = .25 hrs
-----------------
tot time .583 hrs, convert to min; .583(60) ~ 35 min
RELATED QUESTIONS
An aircraft, used for fire spotting, flies from its base to locate a fire at an unknown (answered by josgarithmetic,greenestamps)

The two cyclists ride toward each other on a straight, 24 km road. One cyclist travels at (answered by ikleyn)

A helicopter used in fighting a forest fire travels at 175 km/h from the fire to a pond... (answered by KnightOwlTutor)

A reconnaissance plane flies 600 km away from its base at 180 km/h, then flies back to... (answered by robertb)

An airplane flies at a rate of 356 km/h. If the plane travels a total distance of 1424... (answered by funmath)

An airplane flies at a rate of 356 km/h . If the plane travels a total distance of 1424 (answered by nerdybill)

An airplane flies at a rate of 356 km/h. If the plane travels a total distance of 1424... (answered by Mr.Gardner)

Please help solve: A helicopter used in fighting a forest fire travels at 105 mi/h from a (answered by Alan3354)

A runner is jogging in a straight line at a steady v, 3 km/hr. When the runner is L= 5.9... (answered by ikleyn)