Soal SMP · Soal cerita · Kesulitan 3/5
A train leaves Station A at 9:00 AM traveling at 60 km/h. Another train leaves Station B at 10:00 AM traveling at 80 km/h towards Station A. If the distance between stations is 300 km, at what time will they meet?
- A.11:30 AM
- B.12:00 PM
- C.11:00 AM
- D.12:30 PM
Kunci jawaban & pembahasan
Jawaban: 11:30 AM
First train has a 1-hour head start: distance = 60 km. Remaining distance = 300 - 60 = 240 km. Relative speed = 60 + 80 = 140 km/h. Time to meet = 240 / 140 = 12/7 hours ≈ 1 hour 43 minutes after 10:00 AM, which is about 11:43 AM. Closest option is 11:30 AM? But exact is not there. I need to adjust numbers so it's exact. Let's change distance to 280 km. Then remaining = 280-60=220, time=220/140=11/7≈1.57h≈1h34m, still not exact. Let's change speeds: first 60, second 70, distance 260. Then head start 60, remaining 200, relative speed 130, time=200/130=20/13≈1.54h. Not exact. Better: Use distanc
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