Subject
Quantitative Aptitude
Topic
Speed & Distance
A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes . The total distance (in km ) is ( একজন ব্যক্তি সমান দূরত্ব, ঘন্টায় 3, 4 ও 5 কি.মি. বেগে অতিক্রম করল এবং এতে যদি 47 মিনিট সময় লাগে তাহলে মোট দূরত্ব কত ?)
A person travels equal distance with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes . The total distance (in km ) is ( একজন ব্যক্তি সমান দূরত্ব, ঘন্টায় 3, 4 ও 5 কি.মি. বেগে অতিক্রম করল এবং এতে যদি 47 মিনিট সময় লাগে তাহলে মোট দূরত্ব কত ?)
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5Explanation
ধরি, প্রতিক্ষেত্রে সমান x km দূরত্ব অতিক্রম করে মোট দূরত্ব = x + x + x = 3x দূরত্ব(কি.মি.) বেগ(কি.মি./ঘন্টা) সময়=(দূরত্ব/বেগ)(ঘন্টা) x 3 (x/3) x 4 (x/4) x 5 (x/5) মোট সময় = 47 মিনিট = (47/60) ঘন্টা শর্তমতে, মোট সময়, {(x/3)+(x/4)+(x/5)} = 47/60 => {(20x+15x+12x)/60} = 47/60 => (47/60)x = 47/60 ∴ x = 1 কি.মি. মোট দূরত্ব = 3x = 3 × 1 = 3 কি.মি.Related questions
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