let:
S1 = Speed from Airport to End point
S2 = Speed from End point going back to Airport
t1 = time of travel from Airport to End point
t2 = time travel from End point going back to Airport
d1 = distance from Airport to End point
d2= distance from End point to Airport
Given:
S1 = 90 km/hr
S2 = 120 km/hr
total flying time = 7hrs
this total flying time means t1 + t2 = 7
Solution:
S1 = d1 / t1
90 = d1 / t1
S2 = d2 / t2
120 = d2 / t2
Since d1 is equal to d2 (bumalik lang naman wala namang ibang side trip yung plane), we can conclude that S1 * t1 = S2 * t2
from the equation above, we can derive that t1 = 7 - t2
So going back to working equation
S1 * (7 - t2) = S2 * t2
90 * (7-t2) = 120 *t2
therefore t2 = 3 hrs
from that, we can solve that t1 = 7 - t2 = 7 - 3 = 4 hrs
Using t1 or t2, masosolve mong ang d1 or d2 ay 360 km
(PS: Yung sagot ko kanina ay 720 km. Kala ko total distance travelled ang tanong)
Sana malinaw sayo. Kung may nalilito ka pa, I-point out mo san ka banda naguguluhan
Keep Learning!