contestada

the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 900 km/h,how long would it take at 800 km/h

Respuesta :

irspow
Inverse variation means y=k/x  (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6(900)

k=5400 so the equation is:

y=5400/x  or more accurately for this problem

t(v)=5400/v  then:

t(800)=5400/800

t(800)=6.75 hours

New time taken by plain is 6 hours 45 minutes

Given that;

Time taken by plain = 6 hours

Speed of plain = 900 km/h

New speed of plain = 800 km/h

Find:

New time taken by plain

Computation:

Distance cover by plain = 900 × 6

Distance cover by plain = 5400 kilogram

New time taken by plain = Distance cover by plain / New speed of plain

New time taken by plain = 5400 / 800

New time taken by plain = 6 hours 45 minutes

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