Institution: AGRANI BANK LTD Exam: Agrani bank Ltd - Officer 04.07.2008
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine how long it will take Kalam and Jamal to eat 32 chocolates together, we first need to assess their individual eating rates.

Kalam can eat 32 chocolates in 1 hour, which gives him an eating rate of:
\[ \text{Kalam's rate} = \frac{32 \text{ chocolates}}{1 \text{ hour}} = 32 \text{ chocolates/hour}.\]

Jamal takes 3 hours to eat 32 chocolates, meaning his eating rate is:
\[ \text{Jamal's rate} = \frac{32 \text{ chocolates}}{3 \text{ hours}} \approx 10.67 \text{ chocolates/hour}.\]

Now, we combine their rates to find their total eating rate:
\[ \text{Combined rate} = \text{Kalam's rate} + \text{Jamal's rate} = 32 + \frac{32}{3} = 32 + 10.67 \approx 42.67 \text{ chocolates/hour}.\]

To find the time taken to eat 32 chocolates together, we can use the formula:
\[ \text{Time} = \frac{\text{Total chocolates}}{\text{Combined rate}} = \frac{32}{42.67} \text{ hours} \approx 0.75 \text{ hours}.\]

Now, converting 0.75 hours into minutes:
\[ 0.75 \text{ hours} \times 60 \text{ minutes/hour} = 45 \text{ minutes}.\]

Thus, it will take them approximately 45 minutes to eat 32 chocolates together, confirming that option B is indeed correct.