A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?

Question

নিচের অপশন গুলা দেখুন

• 35 hrs
• 45 hrs
• 60 hrs
• 40 hrs

Answer 1

সঠিক উত্তর হচ্ছে: 45 hrs

ব্যাখ্যা: Time taken by X alone = 5 × (1 + 2 + 6)/1 = 45 hours
Detailed Solution:
Let, in 1 hour X can fill = a lit
∴ In 1 hour Y can fill = 2a lit
∴ In 1 hour Z can fill = 6a lit
∴ Capacity of the tank = 5(a + 2a + 6a) = 45a lit
Let, X alone can fill the tank in t hours
According to the question,
⇒ t × a = 45a
⇒ t = 45
∴ X alone can fill the tank in = 45 hours