Mervin and Leela are in bumper cars. They are at opposite ends of a 100-meter track heading toward each other. If Mervin moves at a rate of 5.5 meters per second and Leela moves at a rate of 3.2 meters per second, how long does it take for them to collide?

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Q: A tank contains 2,000 L of brine. Brine containing 5 kg/L of salt flows in at 10 L/min, and the…

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Q: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

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Q: (d) If the ornithologists observe that birds of a certain species reach the shore at a point 3 km…

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A: I am attaching image so that you understand each and every step.

Q: 10 liters per​ minute, how long will it take to fill the 3,400​-gallon ​pool?

A:

Q: A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have been…

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Q: A 400-gal tank initially contains 100 gal of brine containing 75 lb of salt. Brine containing 2 Ib…

A: The solution of above question is written below.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.