Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- नीचे दिए गए प्रश्नों में दो कथनों के माध्यम से कुछ जानकारियां दी गई हैं आपको यह निर्णय करना है कि क्या कथनो में दी गई जानकारी उत्तर देने के लिए पर्याप्त है। उत्तर दीजिए- Find the time taken by Rakesh to cross a platform- एक प्लेटफॉर्म पार करने में राकेश द्वारा लिया गया समय ज्ञात कीजिये- I- A train moving with 48 Km/h cross a platform in 60 seconds. II-Rakesh running at 8 Km/h opposite in the direction of train crosses it in 24 seconds. I-एक ट्रेन 48 किमी / घंटा के साथ चलती हुई एक प्लेटफॉर्म को 60 सेकंड में पार करती है । II-राकेश ट्रेन की विपरीत दिशा में 8 किमी / घंटा की चाल से दौड़ते हुए इसे 24 सेकंड में पार करता है।

  1. Only I केवल I

  2. Only II केवल II

  3. Either I or II या तो I अथवा II

  4. Both together are sufficient दोनों एक साथ पर्याप्त हैं

  5. Both together are not sufficient दोनों एक साथ पर्याप्त नहीं है

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives: Train speed = 48 km/h = 48 × (5/18) = 40/3 m/s. Time to cross platform = 60 sec. So train length + platform length = (40/3) × 60 = 800 m. But we can't separate platform length from train length. INSUFFICIENT alone. Statement II gives: Rakesh's speed = 8 km/h = 20/9 m/s. He runs opposite to train, crosses it in 24 sec. Relative speed = train speed + Rakesh's speed = 40/3 + 20/9 = 140/9 m/s. Train length = (140/9) × 24 = 373.33... m. This gives train length but NOT platform length. INSUFFICIENT alone. COMBINING: From II, train ≈ 373.33 m. From I, train + platform = 800 m. So platform = 800 - 373.33 = 426.67 m. Now we can find time to cross platform: distance = platform + train = 800 m, Rakesh's speed = 20/9 m/s, time = 800 / (20/9) = 360 sec. Both statements TOGETHER are sufficient. Answer D is correct.