Question

3. There is a water tank of capacity 1000 litres. Two filling pipes P and Q connected with it can fill the tank in
150 hours and 120 hours respectively. The rate at which Q fills the tank is more/less than that of P by what
per cent?
1) 15%
2) 16.66%
3) 20%
4) 25%
5) 33.33%​

Answer 1

ANSWER

Q having more filling rate as compare to P

Step-by-step explanation:

According to question P take 150 hours to fill 1000 liters.

and, Q takes 120 hours to fill similar tank of 1000 liters.

Here we can easily say that Q having more filling rate as compare to P because pipe Q takes only 120 hours while P takes 150 hours (all most 30 hours more as compare pipe Q).

if we get the percentage of 120hr from 150hr we get the percentage of less filling of P pipe (Do not fear).

$Percentage=\frac{Given.no}{Total.no} *100\\\\\frac{120}{150}*100\\\\\frac{12}{15}*100\\\\\frac{1200}{15}=80$

less filling rate of P (as compare to Q ) =80%

we know that percentage is of 100                                                                                    so,

100-80=20

Hence, Q having 20% of more filling rate by P.