Subject
Quantitative Aptitude
Topic
Time and Work
A boat has a crack in its hull which is leaking water into the boat and could sink the boat in 6 hours. The boat has a pump which can pump the water out in 8 hours. If the boat is 168 km away from the shore and the pump is running what is the minimum speed the boat should run at so that it can reach the shore before sinking?
A boat has a crack in its hull which is leaking water into the boat and could sink the boat in 6 hours. The boat has a pump which can pump the water out in 8 hours. If the boat is 168 km away from the shore and the pump is running what is the minimum speed the boat should run at so that it can reach the shore before sinking?
ক)
5 km/hourখ)
6 km/hourগ)
7 km/hourঘ)
8 km/hourঙ)
None of theseExplanation
প্রশ্নে বলা হচ্ছে, জাহাজের সম্মুখের ছিদ্রের মাধ্যমে পানি ঢুকে তা 6 ঘণ্টায় ডুবে যেতে পারে। কিন্তু জাহাজের পাম্পের মাধ্যমে ৪ ঘণ্টায় জাহাজের প্রবেশকৃত পানি সেঁচে দেয়া যায়। তীর হতে নৌকা 168 kam দূরে আছে এবং পাম্পটিও চলছে। জাহাজটি কমপক্ষে কত kmph বেগে চললে তা না ডুবেই তীরে পৌঁছাতে পারবে? ছিদ্রপথে জাহজে ১ ঘণ্টায় পানি প্রবেশ করে = ১/৬ অংশ পাম্প দ্বারা ১ ঘণ্টায় পানি বের হয় = ১/৮ অংশ ∴ ছিদ্রপথ ও পাম্প দ্বারা ১ মিনিটে পূর্ণ হয় = (১/৬) - (১/৮) অংশ = (৪ - ৩)/২৪ অংশ = ১/২৪ অংশ ∴ সম্পূর্ণ জাহাজ পূর্ণ হবে ২৪ ঘণ্টায়। তাই জাহাজটিকে ২৪ ঘণ্টায় ১৬৮ কিলোমিটার অতিক্রম করতে হবে। অতএব, বেগ = ১৬৮/ ২৪ কি.মি./ঘণ্টা = ৭ কি.মি./ঘণ্টাRelated questions
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