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The petrol tank of a car started to leak. Did the tank get empty in mo [#permalink]
Quote:
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)


Step 1: Understanding statement 1 alone
1) The tank had 36 gallons of petrol in the tank when it started to leak.
As rate of leak is unknown, time cannot be calculated
Insufficient

Step 2: Understanding statement 2 alone
2) The petrol leaked from the tank at a rate of less than 9 ounces per minute.
As tank capacity is unknown, time cannot be calculated
Insufficient

Step 3: Combining
Tank capacity = 36*128 ounces
rate of leak < 9*60 ounces per hour
Using RT = W equation
T = W/R
At maximum rate of leak, time is greater than (36*128)/(9*60) ~ 8.5 hours
Insufficient

E is correct
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The petrol tank of a car started to leak. Did the tank get empty in mo [#permalink]
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siddharthkapoor wrote:
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.

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Re: The petrol tank of a car started to leak. Did the tank get empty in mo [#permalink]
1. 36g = 36*128 ounces
Not sufficient

2.
Rate < 9 ounces per minute
Not sufficient

1&2
Time > 36*128/9/60

Not sufficient to say that Time < 15 hours

E
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Re: The petrol tank of a car started to leak. Did the tank get empty in mo [#permalink]
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Re: The petrol tank of a car started to leak. Did the tank get empty in mo [#permalink]
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