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30 समय-गति-दूरी प्रश्न और उत्तर (व्याख्या सहित)
30 हल किए गए समय-गति-दूरी प्रश्न विस्तृत व्याख्या के साथ। प्लेसमेंट और प्रतियोगी परीक्षाओं की तैयारी के लिए।
उन्नत समय-गति-दूरी प्रश्न अनुभवी शिक्षार्थियों के लिए। ये मध्यम-से-कठिन प्रश्न गहरी समझ का परीक्षण करते हैं।
महत्वपूर्ण सूत्र
Speed = Distance / Time, Distance = Speed × Time, Time = Distance / Speed
km/hr to m/s: multiply by 5/18. m/s to km/hr: multiply by 18/5
Avg Speed = Total Distance / Total Time (NOT average of speeds)
Equal distances: Avg = (2 × S₁ × S₂) / (S₁ + S₂)
Relative: Towards → add speeds. Same direction → subtract speeds
Train + Platform: Distance = Train length + Platform length
Q1
मध्यम
bike runs पर 72 km/h के लिए 2 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 72 x 2 = 144 km.
Q2
मध्यम
train covers 80 km में 2 घंटे. क्या है इसका औसत गति?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). गति = दूरी / समय = 80/2 = 40 km/h.
Q3
मध्यम
कैसे much समय है needed को यात्रा 120 km पर 30 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 120/30 = 4 घंटे.
Q4
मध्यम
bike runs पर 54 km/h के लिए 5 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 54 x 5 = 270 km.
Q5
मध्यम
कैसे much समय है needed को यात्रा 120 km पर 60 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 120/60 = 2 घंटे.
Q6
मध्यम
bike runs पर 30 km/h के लिए 4 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 30 x 4 = 120 km.
Q7
मध्यम
कैसे much समय है needed को यात्रा 200 km पर 50 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 200/50 = 4 घंटे.
Q8
मध्यम
bike runs पर 30 km/h के लिए 5 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 30 x 5 = 150 km.
Q9
मध्यम
कैसे much समय है needed को यात्रा 300 km पर 60 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 300/60 = 5 घंटे.
Q10
मध्यम
bike runs पर 40 km/h के लिए 3 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 40 x 3 = 120 km.
Q11
मध्यम
कैसे much समय है needed को यात्रा 240 km पर 60 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 240/60 = 4 घंटे.
Q12
मध्यम
bike runs पर 36 km/h के लिए 3 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 36 x 3 = 108 km.
Q13
मध्यम
कैसे much समय है needed को यात्रा 120 km पर 40 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 120/40 = 3 घंटे.
Q14
मध्यम
bike runs पर 54 km/h के लिए 3 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 54 x 3 = 162 km.
Q15
मध्यम
bike runs पर 72 km/h के लिए 5 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 72 x 5 = 360 km.
Q16
मध्यम
कैसे much समय है needed को यात्रा 200 km पर 50 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 200/50 = 4 घंटे.
Q17
मध्यम
bike runs पर 48 km/h के लिए 4 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 48 x 4 = 192 km.
Q18
मध्यम
bike runs पर 36 km/h के लिए 3 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 36 x 3 = 108 km.
Q19
मध्यम
कैसे much समय है needed को यात्रा 100 km पर 50 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 100/50 = 2 घंटे.
Q20
मध्यम
bike runs पर 54 km/h के लिए 4 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 54 x 4 = 216 km.
Q21
मध्यम
bike runs पर 30 km/h के लिए 2 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 30 x 2 = 60 km.
Q22
मध्यम
bike runs पर 36 km/h के लिए 2 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 36 x 2 = 72 km.
Q23
मध्यम
कैसे much समय है needed को यात्रा 150 km पर 50 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 150/50 = 3 घंटे.
Q24
मध्यम
bike runs पर 40 km/h के लिए 4 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 40 x 4 = 160 km.
Q25
मध्यम
bike runs पर 54 km/h के लिए 3 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 54 x 3 = 162 km.
Q26
मध्यम
train covers 200 km में 5 घंटे. क्या है इसका औसत गति?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). गति = दूरी / समय = 200/5 = 40 km/h.
Q27
मध्यम
bike runs पर 72 km/h के लिए 4 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 72 x 4 = 288 km.
Q28
मध्यम
कैसे much समय है needed को यात्रा 300 km पर 60 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 300/60 = 5 घंटे.
Q29
मध्यम
bike runs पर 36 km/h के लिए 5 घंटे. ज्ञात करें दूरी travelled.
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). दूरी = गति x समय = 36 x 5 = 180 km.
Q30
मध्यम
कैसे much समय है needed को यात्रा 150 km पर 30 km/h?
व्याख्या:
Use the fundamental formula: Speed = Distance ÷ Time. Always ensure units are consistent (convert km/hr to m/s by multiplying by 5/18 when needed). समय = दूरी / गति = 150/30 = 5 घंटे.
मुख्य बातें
- Always convert to consistent units before solving (km to m, hours to seconds).
- Average speed ≠ average of speeds. Use Total Distance ÷ Total Time.
- For train crossing a platform: Distance = Train length + Platform length.
- Relative speed when moving towards each other: add. Same direction: subtract.
अक्सर पूछे जाने वाले प्रश्न
How do I convert km/hr to m/s?
Multiply by 5/18. For example, 72 km/hr = 72 × 5/18 = 20 m/s. To convert m/s to km/hr, multiply by 18/5.
How do I calculate average speed?
Average Speed = Total Distance ÷ Total Time. Never take the arithmetic mean of speeds. For two equal distances covered at different speeds: Average = (2 × S1 × S2) ÷ (S1 + S2).
How do relative speed problems work?
When objects move towards each other: Relative speed = S1 + S2. When moving in the same direction: Relative speed = |S1 - S2|. Time to meet/cross = Distance ÷ Relative Speed.
समय-गति-दूरी अभ्यास के लिए और संसाधन
समय-गति-दूरी के और अभ्यास के लिए हमारा टाइम्ड क्विज मोड आज़माएं, जहां हर बार नए प्रश्न मिलते हैं।