How far did Badong drive at each speed?
Badong took 5 hours to drive 470 kph from Iloilo City to Antique. For part of the trip he drove at 100 kph. For the rest of the trip he drove at 90 kph.
Distance covered at 100 kph—d:
d/100 + (470 – d)/90 = 5
9d + 10(470 – d) = 4,500
9d + 4,700 – 10d = 4,500
d = 200
Distance covered at 90 kph:
= 470 – 200
= 270
Answer: 200 km at 100 kph; 270 km at 90 kph
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