Two pipes A and B can fill a cistern in \… | Answer

Subject

Bank Exam

Topic

Southeast Bank Ltd. - Probationary Officer - 2017

Two pipes A and B can fill a cistern in $37\frac{1}{2}$ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just after an hour, if the B is turned off after.
Reading

ক)

5 minutes

খ)

9 minutes

গ)

10 minutes

ঘ)

15 minutes

Explanation

Solution: প্রশ্নে বলা হচ্ছে যে, দুটি পাইপ A এবং B দ্বারা একটি চৌবাচ্চা যথাক্রমে

37\frac{1}{2}

মিনিট ও 45 মিনিটে পূর্ণ করা যায় । দুটি পাইপ খোলা থাকলে B কত ঘন্টা পর বন্ধ করলে চৌবাচ্চাটি 1 ঘন্টায় পূর্ণ হবে ? পাঠক, অংকটিতে Typist half an hour এর বদলে An hour লিখেছেন, যার কারণে অঙ্কটির সঠিক উত্তর পাওয়া সম্ভব নয় । তবে An hour এর বদলে Half an hour থাকলে নিচের মতো করে উত্তর পাওয়া যেত । মনে করি, x মিনিট পরে B পাইপটি বন্ধ করতে হবে । অতএব, (A + B) দ্বারা x মিনিটে পূরণকৃত অঙ্ক + A দ্বারা (30 - x) মিনিটে পূরণকৃত অংশ = চৌবাচ্চাটির সম্পূর্ণ অংশ । অর্থাৎ

x(\frac{2}{{75}} + \frac{1}{{45}}) + (30 - x)\frac{2}{{75}} = 1

\frac{{2x}}{{75}} + \frac{x}{{45}} + \frac{{60}}{{75}} - \frac{{2x}}{{75}} = 1

\frac{x}{{45}} + \frac{{60}}{{75}} = 1

\frac{x}{{45}} + \frac{4}{5} = 1

\frac{x}{{45}} = 1 - \frac{4}{5}

\frac{x}{{45}} = \frac{{5 - 4}}{5} = \frac{1}{5}

=> x =

\frac{{45}}{5}

= 9 অর্থাৎ B পাইপটি 9 মিনিট পর বন্ধ করতে হবে ।

The most appropriate title of the passage is:If 4a+ 4a+1= 4a+2- 176, what is the value of a ?According to the passage, people are involved in terrorism because of:If 1,500 is increased by 20% and then reduced by y%, yielding 1,080, what is the value of y ?The theme of the passage is:Lamia is 12 years old. She is three times older than Farzin. What will be the age of Lamia when she is two times older than Farzin ?According to the passage:If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is:

Two pipes A and B can fill a cistern in 371237\frac{1}{2}3721​ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just after an hour, if the B is turned off after.Reading

Two pipes A and B can fill a cistern in 371237\frac{1}{2}3721​ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just after an hour, if the B is turned off after.

Explanation

Related questions

Find Tutors

Two pipes A and B can fill a cistern in $37\frac{1}{2}$ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just after an hour, if the B is turned off after.
Reading

Two pipes A and B can fill a cistern in $37\frac{1}{2}$ minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just after an hour, if the B is turned off after.