Subject
Quantitative Aptitude
Topic
Speed & Distance
Kamrul usually walks to his office from his house at a speed of 8 km per hour. It takes him 10 minutes longer to walk the same distance at 6 km per hour. What is the distance (in km) between his house and office?
Kamrul usually walks to his office from his house at a speed of 8 km per hour. It takes him 10 minutes longer to walk the same distance at 6 km per hour. What is the distance (in km) between his house and office?
ক)
7খ)
6গ)
5ঘ)
4ঙ)
none of theseExplanation
QUESTION : কামরুল সাধারণত তার বাড়ি থেকে অফিসে 8 km per hour গতিতে হেঁটে যায়। একই দূরত্ব 6 km per hour গতিতে হাঁটতে তার 10 মিনিট বেশি সময় লাগে। তার বাড়ি এবং অফিসের মধ্যে দূরত্ব কত km? সমাধান: *চলক নির্ধারণ: -ধরি, কামরুলের বাড়ি এবং অফিসের মধ্যে দূরত্ব x km। -8 km/h গতিতে সময় লাগে t ঘণ্টা। *সমীকরণ স্থাপন: -8 km/h গতিতে: x = 8t -6 km/h গতিতে: x = 6(t + 1/6) (কারণ 10 মিনিট = 1/6 ঘণ্টা) *সমীকরণ সমাধান: -8t = 6(t + 1/6) -8t = 6t + 1 -2t = 1 -t = 1/2 ঘণ্টা = 30 মিনিট *দূরত্ব নির্ণয়: -x = 8t = 8 * (1/2) = 4 km সঠিক উত্তর হল (D) 4 km।Related questions
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