Subject
Quantitative Aptitude
Topic
Speed & Distance
A man intends to run a certain distance in 1/4 less time than he usually takes. By what percent must he increase his running speed to accomplish his goal?
A man intends to run a certain distance in 1/4 less time than he usually takes. By what percent must he increase his running speed to accomplish his goal?
ক)
25%খ)
27.5%গ)
33.33%ঘ)
35%ঙ)
none of theseExplanation
QUESTION : একজন ব্যক্তি একটি নির্দিষ্ট দূরত্ব তার সাধারণ সময়ের চেয়ে 1/4 কম সময়ে অতিক্রম করতে চায়। তার লক্ষ্য পূরণ করতে তাকে তার দৌড়ানোর গতি কত শতাংশ বাড়াতে হবে? সমাধান: *প্রদত্ত তথ্য বিশ্লেষণ: -ব্যক্তিটি তার সাধারণ সময়কে 1/4 (বা 25%) কমাতে চায় -আমাদের গতির শতকরা বৃদ্ধি খুঁজে বের করতে হবে *চলক নির্ধারণ: -ধরি, সাধারণ সময় t -সাধারণ গতি v *নতুন সময় নির্ণয়: -নতুন সময় = t - (1/4)t = (3/4)t -গতির সূত্র ব্যবহার: গতি = দূরত্ব / সময় -সাধারণ ক্ষেত্রে: v = d / t -নতুন ক্ষেত্রে: v' = d / ((3/4)t) *নতুন গতি এবং সাধারণ গতির অনুপাত নির্ণয়: -v' / v = (d / ((3/4)t)) / (d / t) = t / ((3/4)t) = 4/3 *শতকরা বৃদ্ধি নির্ণয়: -শতকরা বৃদ্ধি = (4/3 - 1) * 100 = (1/3) * 100 = 33.33% অতএব, সঠিক উত্তর হল (C) 33.33%।Related questions
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