A large railroad car is filled with 1745 gallons of milk. The car springs a leak in the bottom, and milk starts dripping out at a rate of 204.84 mL/sec. If the train is traveling at a speed of 65.4 miles per hour, calculate how many miles it will travel before all the milk has drained out of the car.

Question

Mathematics

Tyson Huffman

14 March, 08:47

A large railroad car is filled with 1745 gallons of milk. The car springs a leak in the bottom, and milk starts dripping out at a rate of 204.84 mL/sec. If the train is traveling at a speed of 65.4 miles per hour, calculate how many miles it will travel before all the milk has drained out of the car.

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Answers (1)

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Dolce · Answer 1

585.98 miles

Step-by-step explanation:

We need to convert 1745 gallons to mL.

We know 1 gallons = 3785.41 mL

So 1745 gallons = 1745 * 3785.41 = 6,605,540.45 mL

Leaks are at 204.84 mL/sec, so it will take:

6,605,540.45/204.84 = 32,247.32 seconds

In hours, that is:

32,247.32 / (60*60) = 8.96 hours

Now, since train is travelling at 65.4 miles per hour, in 8.96 hours, train will approximately travel:

65.4 * 8.96 = 585.98 miles