Soal SMA · Soal cerita · Kesulitan 2/5
A cyclist travels 30 km at a constant speed. If the speed is increased by 5 km/h, the trip would take 1 hour less. What was the original speed?
- A.10 km/h
- B.15 km/h
- C.20 km/h
- D.25 km/h
Kunci jawaban & pembahasan
Jawaban: 10 km/h
Let original speed = v. Time = 30/v. New time = 30/(v+5). Given 30/v - 30/(v+5) = 1. Solve: 30(v+5) - 30v = v(v+5) → 150 = v² + 5v → v² + 5v - 150 = 0 → (v+15)(v-10)=0 → v=10.
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