SOLUTION: At noon, a cargo plane leaves Ling airport and heads towards Shangxu 500km away at 180km/h. At 1:00pm, a jet takes off from Ling airport and flies on the same course at 450km/h. Wh

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: At noon, a cargo plane leaves Ling airport and heads towards Shangxu 500km away at 180km/h. At 1:00pm, a jet takes off from Ling airport and flies on the same course at 450km/h. Wh      Log On

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Question 1203959: At noon, a cargo plane leaves Ling airport and heads towards Shangxu 500km away at 180km/h. At 1:00pm, a jet takes off from Ling airport and flies on the same course at 450km/h. What time will the jet overtake the cargo plane?
Found 4 solutions by mananth, josgarithmetic, math_tutor2020, ikleyn:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
At noon, a cargo plane leaves Ling airport and heads towards Shangxu 500km away at 180km/h.
At 1:00pm, a jet takes off from Ling airport and flies on the same course at 450km/h
Since the jet leaves one hour later , the cargo plane would have traveled 180 km
speed of cargo plane 180 km/h
speed of jet = 450 km/h
They are flying in the same direction
Effective speed = 450 - 180 = 270 km/h
catch up time = catch up distance / catch up speed
time = 180/270 =2/3
Tje jet catches up after 2/3 hours = 40 minutes.
The jet will overtake the cargo plane at 1:40pm.


Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
That is one-hour of cargo plane travel time before the jet began its travel. The amount of distance to be closed for catch-up is 180 kilometers.

Jet's approach rate is 450-180=highlight_green%28270%29 kilometers per hour.

x, the amount of time for the jet's catch-up,
270x=180

x=18%2F27

x=%282%2A3%2A3%29%2F%283%2A3%2A3%29=highlight_green%282%2F3%29hour, which is 40 minutes.
WHAT TIME? 1:40 PM.

Answer by math_tutor2020(3816) About Me  (Show Source):
Answer by ikleyn(52761) About Me  (Show Source):
You can put this solution on YOUR website!
.

Or this previous answer

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.486088.html

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.486088.html