Subject
Quantitative Aptitude
Topic
Speed & Distance
Two cyclists start hiking from the starting point of a trail 3 hours apart. The second cyclist starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started hiking?
Two cyclists start hiking from the starting point of a trail 3 hours apart. The second cyclist starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started hiking?
ক)
2 hoursখ)
4 1/2গ)
3/4ঘ)
6 hoursঙ)
None of theseExplanation
QUESTION : দুজন cyclist একটি trail-এর শুরুর বিন্দু থেকে 3 ঘণ্টার ব্যবধানে হাইকিং শুরু করে। দ্বিতীয় cyclist প্রথম cyclist-এর 3 ঘণ্টা পরে শুরু করে, যেখানে প্রথম cyclist 6 miles per hour গতিতে যাত্রা করছে। দ্বিতীয় cyclist হাইকিং শুরু করার পর থেকে কত সময় পরে সে প্রথম cyclist-কে ধরে ফেলবে? সমাধান: -প্রথম cyclist 6 miles per hour গতিতে যাচ্ছে -দ্বিতীয় cyclist 3 ঘণ্টা পরে শুরু করে -ধরি, দ্বিতীয় cyclist x ঘণ্টায় প্রথম cyclist-কে ধরে ফেলবে *সমীকরণ স্থাপন: -প্রথম cyclist-এর অতিক্রান্ত দূরত্ব = দ্বিতীয় cyclist-এর অতিক্রান্ত দূরত্ব -6(x + 3) = 6x *সমীকরণ সমাধান: -6x + 18 = 6x -18 = 0 -x = 18/6 = 3 *দ্বিতীয় cyclist-এর ধরে ফেলতে লাগা সময় = x + 3 = 3 + 3 = 6 ঘণ্টা -কিন্তু প্রশ্নে জিজ্ঞাসা করা হয়েছে দ্বিতীয় cyclist শুরু করার পর থেকে কত সময় লাগবে: -6 - 3 = 3 ঘণ্টা অথবা 4 1/2 ঘণ্টাRelated questions
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