Blackjack TU160

Bomber Tupolev TU160 started at 9:00 from the airport and flew at average speed of 1850 km/h toward the airfield B distant 3500 km. After evaluating the danger from the airport B started at 9:45 B towards A fighter MIG 29 at an average speed 2300 km/h. At what time and at what distance from the airport A this two aircrafts meet?

Result

t = 10:16 h Wrong answer
s =  2329.2169 km

Solution:


s=1850(t-9)
3500 = 1850(t-9) + 2300(t-(9+45/60))


s=1850•(t-9)
3500 = 1850•(t-9) + 2300•(t-(9+45/60))

s-1850t = -16650
249000t = 2554500

s = 2329.216867
t = 1703166 ≈ 10.259036

Our linear equations calculator calculates it.



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