Question 186522
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Remember our Eqn---->{{{Speed=Distance/highlight(time)}}}-->{{{S=D/t}}}
We're looking for the highlighted one above.
.
After 2 hours as the Jet leaves the airport, we want to know at what distance is the airplane now:
{{{D[a]=S[a]*t=192*2=384km}}}
Then the Jet flies when the airplane is at 384 km away.
At this time, {{{D[a]=D[j]}}} because they're flying on the same direction.
*But to remember to <font color="red">add 384km</font> to the plane.
So, {{{D[a]=D[j]}}}
{{{t(192km/hr)+384km=t(960km/hr)}}}
{{{384=t(960-192)(km/hr)}}}
{{{384=t(768km/hr)}}}--->{{{cross(768)t/cross(768)=384/768}}}
{{{highlight(t=0.50hr)}}}, OR 30 minutes
AT this time, both airplane and jet will be on the same DISTANCE.
Check, {{{D[a]=192*0.50+384=480km}}}
{{{D[j]=960(0.50)=480km}}}
Therefore, <font color="red"> after 0.50hr</font>, the jet will overtake the plane.
Thank you,
Jojo</pre>