A bus is traveling with 60 passengers. When it arrives at a stop, x number of passengers get off and 8 get on. At the next stop, one-third of the passengers on board get off and 5 get on. There are now 37 passengers on the bus. Find out the value of x?

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Satt Academy · Accepted Answer

প্রশ্নে বলা হচ্ছে, একটা বাস 60 জন যাত্রী নিয়ে যাত্রা শুরু করে। যখন ১ম Stop-এ আসে তখন x জন যাত্রী নেমে যায় এবং ৪ জন্য যাত্রী উঠে। ২য় Stop-এ এসে $\frac{1}{3}$ অংশ নেমে যায় এবং 5 জন যাত্রী উঠে। যদি বর্তমানে 37 জন যাত্রী থাকে তাহলে ১ম Stop-এ কতজন যাত্রী নেমেছিল তা বের করতে হবে।

As in the second stop $\frac{1}{3}$ passenger get off from the bus. So total passenger left $\frac{2}{3}$ in the bus.

According to question,

$(60 - x + 8) \times \frac{2}{3} + 5 = 37$

$\Rightarrow (60 - x + 8) \times \frac{2}{3} = 37 - 5$

$\Rightarrow (68 - x) \times \frac{2}{3} = 32$

$\Rightarrow (68 - x) = 32 \times \frac{2}{3}$

⇒ 68 - x = 48

⇒ - x = 48 - 68

⇒ - x = - 20

$∴$ x = 20

ans: 20.

A bus is traveling with 60 passengers. When it arrives at a stop, x number of passengers get off and 8 get on. At the next stop, one-third of the passengers on board get off and 5 get on. There are now 37 passengers on the bus. Find out the value of x?

Question: A bus is traveling with 60 passengers. When it arrives at a stop, x number of passengers get off and 8 get on. At the next stop, one-third of the passengers on board get off and 5 get on. There are now 37 passengers on the bus. Find out the value of x?

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