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| Math Central | Quandaries & Queries |
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Question from Victor, a teacher: A plane flies from Istanbul to Lagos at 800km/h and then returns to Istanbul at 900km/h. The return trip takes 1 hour less than the flight to Lagos. What is the distance between Istanbul and Lagos? |
Hi Victor,
Most of these distance-time-rate problems depend on the fact that rate is distance divided by time. Suppose the distance between Istanbul and Lagos is $d$ kilometers and it took the plane $t$ hours to fly from Istanbul to Lagos. Thus
\[800 = \frac{d}{t} \mbox{ kilometers per hour.}\]
How long does the return trip take? Write an equation, similar to the one above, for the return trip. Solve the two equation.
Penny
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