Subject
Quantitative Aptitude
Topic
Speed & Distance
A man traveled one-fourth of the total distance of his trip by car. He traveled the remaining distance on foot. The ratio of his walking time to driving time was 15:1. Calculate the ratio of his driving speed to his walking speed.
A man traveled one-fourth of the total distance of his trip by car. He traveled the remaining distance on foot. The ratio of his walking time to driving time was 15:1. Calculate the ratio of his driving speed to his walking speed.
ক)
5:2খ)
5:1গ)
1:5ঘ)
2:5ঙ)
25:1Explanation
QUESTION: একজন ব্যক্তি তার যাত্রার মোট দূরত্বের এক-চতুর্থাংশ car-এ ভ্রমণ করেন। বাকি দূরত্ব তিনি পায়ে হেঁটে যান। তার হাঁটার সময় এবং গাড়ি চালানোর সময়ের অনুপাত ছিল 15:1। তার গাড়ি চালানোর গতি এবং হাঁটার গতির অনুপাত কত? সমাধান: *প্রদত্ত তথ্য বিশ্লেষণ: -মোট দূরত্বের 1/4 অংশ car-এ যাত্রা -মোট দূরত্বের 3/4 অংশ পায়ে হেঁটে যাত্রা -হাঁটার সময় এবং গাড়ি চালানোর সময়ের অনুপাত 15:1 *সমীকরণ স্থাপন: -ধরি, মোট দূরত্ব x km -গাড়ি চালানোর গতি v km/h -হাঁটার গতি u km/h গাড়ি চালানোর সময় = (x/4) / v -হাঁটার সময় = (3x/4) / u প্রদত্ত অনুপাত অনুযায়ী: (3x/4u) : (x/4v) = 15 : 1 *সমীকরণ সমাধান: -(3x/4u) / (x/4v) = 15/1 -(3v) / u = 15 -v/u = 5 সুতরাং, গাড়ি চালানোর গতি এবং হাঁটার গতির অনুপাত হল 5:1।Related questions
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