siddharthkapoor
The petrol tank of a car started to leak. Did the tank get empty in more than 15 hours, when it started to leak? (1 gallon = 128 ounces)
1) The tank had 36 gallons of petrol in the tank when it started to leak.
2) The petrol leaked from the tank at a rate of less than 9 ounces per minute.
Each statement on its own is clearly insufficient.
Statements combined:Calculate the time needed to empty 36 gallons at a rate of 9 ounces per minute.
\(\frac{36-gallons}{1} * \frac{128-ounces}{1-gallon} * \frac{1-minute}{9-ounces} * \frac{1-hour}{60-minutes} = \frac{36*128}{9*60} = \frac{4*32}{15}\) ≈ 8.5 hours
9 ounces per minute --> approximately 8.5 hours to empty the tank
Thus:
LESS THAN 9 ounces per minute --> MORE THAN 8.5 hours to empty the tank
If the time to empty the tank = 10 hours, the answer to the question stem is NO.
If the time to empty the tank = 16 hours, the answer to the question stem is YES.
INSUFFICIENT.