Problema Solution
Two planes start from the same airport and fly in opposite directions. The second plane starts 1 2 hour after the first plane, but its speed is 64 kilometers per hour faster. Find the ground speed of the first plane if 1 hours after the first plane departs the planes are 2313 kilometers apart. Answer in units of kilometers/hour
Answer provided by our tutors
let
t + 1/2 = the time of the first plane in hours
t = the time of the second plane in hours
v = the speed of the first plane in km/hr
v + 64 = the speed of the second plane in km/hr
1 hours after the first plane departs the planes are 2313 kilometers apart
1*v + (1/2)*(v + 64) = 2313
by solving we find
v = 1520.67 km/hr
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