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HomeSSC GDSsc Gd MathB8. Time & Distance (समय और दूरी)
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B • Maths

B8. Time & Distance (समय और दूरी)

Speed • Relative speed • Trains

Chapter Overview (English + हिंदी)

Use S = D/T. Relative speed is sum (opposite) or difference (same direction).

S = D/T. विपरीत दिशा में relative speed जोड़ते हैं, समान दिशा में घटाते हैं।

Professor Tip: पहले formula याद, फिर 5 सवाल speed से, फिर 1-2 सवाल deep समझ से.

Important Formulas / महत्वपूर्ण सूत्र

Speed = Distance / Time
Distance = Speed × Time
Time = Distance / Speed
Relative speed: opposite = s1+s2; same = |s1−s2|

Quick Tricks / त्वरित ट्रिक्स

  • Units एक जैसे रखो (km/h vs m/s).
  • Train length problems: distance = length of train (crossing a pole).
  • Opposite => add speeds.

Practice MCQs (6) – Answer Hidden by Default

Click “Show Answer” for each question. (SSC GD level)

Q1. A man covers 120 km in 3 hours. Speed =
120 किमी 3 घंटे में। गति =
Answer: B (40 km/h)
Explanation: 120/3=40.
Trick: D/T
Q2. Convert 36 km/h to m/s:
36 km/h को m/s में बदलें:
Answer: B (10 m/s)
Explanation: Multiply by 5/18: 36×5/18=10.
Trick: km/h × 5/18
Q3. Two trains 40 and 60 km/h opposite directions. Relative speed:
40 व 60 km/h विपरीत दिशा में। relative speed:
Answer: B (100 km/h)
Explanation: Opposite ⇒ 40+60=100.
Trick: Opposite = add.
Q4. A train 180 m long passes a pole in 9 sec. Speed =
180 m ट्रेन 9 sec में खंभा पार करे। गति =
Answer: A (20 m/s)
Explanation: Distance=180m, time=9s ⇒ speed=180/9=20 m/s.
Trick: Pole crossing ⇒ distance = train length.
Q5. If speed increases by 20%, time to cover same distance:
गति 20% बढ़े तो समय:
Answer: C (16.67% decrease)
Explanation: Time inversely ∝ speed. New time = 1/1.2 = 0.8333 ⇒ 16.67% less.
Trick: % change inverse: 20% inc ⇒ 1/1.2.
Q6. A car travels 150 km at 50 km/h. Time =
150 किमी 50 km/h से। समय =
Answer: B (3 h)
Explanation: T=150/50=3.
Trick: D/T
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