Subject
Quantitative Aptitude
Topic
Speed & Distance
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
ক)
50 milesখ)
100 milesগ)
500 milesঘ)
700 milesExplanation
QUESTION : যদি দুটি plane একই airport থেকে দুপুর 1:00 টায় রওনা দেয়, তাহলে বিকেল 3:00 টায় তারা কত mile দূরে থাকবে যদি একটি সরাসরি উত্তরে 150 mph গতিতে এবং অন্যটি সরাসরি পশ্চিমে 200 mph গতিতে যায়? ব্যাখ্যা: -প্রথমে, আমরা দেখছি যে দুটি plane 2 ঘণ্টা ধরে উড়ছে। -উত্তরমুখী plane যাবে: 150 mph × 2 hours = 300 miles -পশ্চিমমুখী plane যাবে: 200 mph × 2 hours = 400 miles -এখন, দুটি plane এর অবস্থান একটি right-angled triangle তৈরি করে, যেখানে: উত্তর-দক্ষিণ দূরত্ব (base) = 300 miles পূর্ব-পশ্চিম দূরত্ব (height) = 400 miles -Pythagorean theorem অনুসারে, hypotenuse (দুটি plane এর মধ্যকার দূরত্ব) হবে: √(300² + 400²) = 500 miles সুতরাং, বিকেল 3:00 টায় দুটি plane একে অপর থেকে 500 miles দূরে থাকবে, যা option (C)-তে দেওয়া আছে।Related questions
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