Subject
Quantitative Aptitude
Topic
Speed & Distance
A motorcyclist completes a certain journey in 5 hours. He covers one-third distance at 60 km/hr and the rest at 80 km/hr . The length of the journey is ( একজন মোটর সাইকেল চালক একটি নির্দিষ্ট যাত্রা 5 ঘন্টায় সম্পূর্ণ করে । সে এক তৃতীয়াংশ দূরত্ব 60 km/hr গতিতে এবং বাকি অংশ 80 km/hr গতিতে চললে মোট দূরত্ব কত ?)
A motorcyclist completes a certain journey in 5 hours. He covers one-third distance at 60 km/hr and the rest at 80 km/hr . The length of the journey is ( একজন মোটর সাইকেল চালক একটি নির্দিষ্ট যাত্রা 5 ঘন্টায় সম্পূর্ণ করে । সে এক তৃতীয়াংশ দূরত্ব 60 km/hr গতিতে এবং বাকি অংশ 80 km/hr গতিতে চললে মোট দূরত্ব কত ?)
ক)
180 kmখ)
240 kmগ)
300 kmঘ)
350 kmExplanation
মোটর সাইকেল চালককে সম্পূর্ণ পথ 5 ঘন্টায় ভ্রমণ করতে হবে । ধরি, মোট দূরত্ব = x km . সে এক-তৃতীয়াংশ দূরত্ব অর্থাৎ (x/3) km অতিক্রম করে 60 km/hr বেগে ∴(x/3) km অতিক্রমনে সময় = {(x/3)/60 hrs} = (x/180) hrs [ সময় = দূরত্ব/বেগ ] বাকি পথ = {x-(x/3)} km = (2/3) x km ∴[ {(x/3)/60} +(2x/3)/80} ] = 5 => (x/180)+(x/120) = 5 => {(2x+3x)/360} = 5 =>5x = 5×360 ∴ x = {(5×360)/5 } = 360Related questions
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