Subject
Quantitative Aptitude
Topic
Speed & Distance
A 250-meter-long train passes a person in 10 seconds. The person was running at 5 km/hr in the opposite direction of the train. What is the speed of the train in km/hr?
A 250-meter-long train passes a person in 10 seconds. The person was running at 5 km/hr in the opposite direction of the train. What is the speed of the train in km/hr?
ক)
50খ)
55গ)
75ঘ)
85ঙ)
NoneExplanation
দেওয়া আছে, ব্যক্তির গতি = 5 km/hr = 5000 m/hr = (5000/3600) m/s = 1.389 m/s ধরি, ট্রেনের গতি = x km/hr ⇒ x km/hr = (x × 1000/3600) m/s যেহেতু ব্যক্তি ও ট্রেন বিপরীত দিকে যাচ্ছে, তাহলে, আপেক্ষিক গতি = ট্রেনের গতি + ব্যক্তির গতি = (x × 1000/3600) + 1.389 m/s আপেক্ষিক গতি দিয়ে দূরত্ব ভাগ করলে সময় পাওয়া যায়, সুতরাং, 250 = [(x × 1000/3600) + 1.389] × 10 ⇒ 25 = (x × 1000/3600) + 1.389 ⇒ (x × 1000/3600) = 25 - 1.389 ⇒ (x × 1000/3600) = 23.611 ⇒ x = (23.611 × 3600)/1000 ⇒ x = 85 সুতরাং ট্রেনের গতি 85 km/hrRelated questions
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