প্রশ্নে বলা হচ্ছে, একজন লোক টয় ট্রেনে একটি নির্দষ্ট দূরত্ব অতিক্রম করে। যদি ট্রেনটি 4 মিনিট/ঘণ্টা বেশি গতিতে ছুটত তবে 30 মিনিট কম লাগত। যদি 2 কিমি/ঘণ্টা কম গতিতে চলত তবে 20 মিনিট বেশি লাগে । দূরত্ব বের করুন।
The distance be x km and initial speed by y km/hr.
Original time taken
According to the first condition ,
Again,
From equation (i) & (ii) we get have
∴
Putting the value of y = 20 in equation (i)
2.
Machine A, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. Machine B, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. How many minutes will it take machines A and B, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
Machine A, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. Machine B, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. How many minutes will it take machines A and B, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
প্রশ্নে বলা হচ্ছে যে, A মেশিন তার নির্দিষ্ট হারে চলে 12 মিনিটে x পাউন্ড Peanut butter তৈরী করে এবং B মেশিন তার নির্দিষ্ট হারে চলে 18 মিনিটে x পাউন্ড Peanut butter তৈরী করে। এখন প্রশ্ন হলো A এবং B একত্রে কাজ করে x পাউন্ড Peanut butter তৈরী করতে কত সময় নিবে?
A can produce in 12 minutes x pound of peanut butter
∴ A can produce in 1 minute pound of peanut butter
Again, B can produce in 18 minutes x pound of peanut butter
So, in 1 minute (A + B) can produce
Now, pounds can be produced by (A + B) in = 1 minute
∴ x pounds can be produced by (A + B) in = 7.2 minutes = 7 minutes 12 seconds. (ans.)
3.
Tow trains running at the rate of 75km and 60km an hour respectively on parallel rails in opposites directions, are to pass each other in 8 seconds and when they are running in the same direction at the same rates as before, a person sitting in the faster train observes that he passes the other in 33 seconds. Find the lengths of the trains.
Tow trains running at the rate of 75km and 60km an hour respectively on parallel rails in opposites directions, are to pass each other in 8 seconds and when they are running in the same direction at the same rates as before, a person sitting in the faster train observes that he passes the other in 33 seconds. Find the lengths of the trains.
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