ksharma12 wrote:
Working together at their constant rates, A and B can fill an empty tank to capacity in 1/2 hours. What is the constant rate of pump B?
(1) A's constant rate is 25 LTS / min
(2) The tanks capacity is 1200 lts.
ksharma12 wrote:
Working together at their constant rates, A and B can fill an empty tank to capacity in 1/2 hours. What is the constant rate of pump B?
(1) A's constant rate is 25 LTS / min
(2) The tanks capacity is 1200 lts.
Let the rate of A be a and the rate of B be b
(1) A's constant rate is 25 LTS / min
(a+b)time = Volume of tank
(25+b)*30 minutes = Volume of tank
750+30b = volume of tank
Rate of B and the volume of tank is not known
INSUFFICIENT
(2) The tanks capacity is 1200 lts.
(a+b)*time = 1200
(a+b)*30 minutes = 1200
30a+30b=1200
Rate of A and rate of B is not known
INSUFFICIENT
MERGE BOTH
750 + 30b= 30a+30b {since both equations are equal to 1200}
30a=750
a=750/30 = 25
Now rate of A is known. Rate of B can be easily calculated by putting value of in any equation
for example 30a+30b =1200
750+30b=1200
30b=450
b= 15
SUFFICIENT
ANSWER IS C
we need both statements together
ANSWER IS C