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?

Q: Penelope travels 14 miles in 30 minutes. At what constant speed is she driving?

A:

Q: you are driving 62 mph and the other car is going 64 mph in the opposite direction.  Now what is his…

A: Given: You are driving 62 mph and the other car is going 64 mph in the opposite direction.

Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

A:

Q: Two Tropical Cyclones, travelling towards each other, left from two places that are 900 miles apart,…

A: Let the first Tropical cyclone be named cyclone A and the second one cyclone B.  Now, these two…

Q: Sofi  is 1.50 meters high and goes straight towards a streetlight  that is 6 meters high. (She walks…

A: Consider the following figure: AB represents height of streetlight. ED represents height of Person…

Q: An escalator is moving downward at a constant speed. Andrea walks down the escalator as it is moving…

A: Here we will find the total no of steps when escalator is not moving,

Q: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

A:

Q: Two cyclists are travelling on a grid. At noon, cyclist A is 10 km west of cyclist B. Cyclist A is…

A: Given  At noon, cyclist A is 10 km west of cyclist B.  Cyclist A is travelling west at 10 km per…

Q: If your speedometer reading is 75 mph, but your tires are larger than factory-installed tires, how…

A: In this question we have to prove how fast SUV is moving.

Q: An automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

Q: Example 5: Two highway patrol cars are stationed 7 miles apart along a straight highway where the…

A:

Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

Q: A woman 6 feet tall walks at the rate of 3 feet per second away from a streetlight that is 15 feet…

A:

Q: A snail moves at the speed of 2.39 inches per minute.if the snail keeps moving at this rate,how many…

A:

Q: Two boats travel at right angles to each other after leaving a dock at the  same time. One hour…

A: Given: Two boats travel at right angles. one hour later they are 25miles apart. if one boat travels…

Q: A barge leaves St. Louis at 8 am on Friday and travels 180 miles downstream to Cairo. It takes 24…

A:

Q: A car and a truck pass through the same intersection. The car passes through at 9:00am and travels…

A: Given: distance travelled by the car from 9:00 am to 1:00 pm is : distance travelled by the truck…

Q: The London Eye has 32 pods, and each pod can hold up to 25 people. The Eye is 120 meters in…

A: Case 1:32=Total number of pods in the London eye25=capacity of the single pod120m=diameter of the…

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: At 9:00 am Katrina starts down an exercise path and walks at a rate of 3 mph. At 9:30 A.M Carla…

A: We know that Distance=speedx Time Here Katrina and Carla have to travel the same distance. According…

Q: the north american plate is moving west at a rate of 20mm/year. the eurasion plate is moving east at…

A: The north American plate is moving west at a rate of mm/year.The Euresian plate is moving east at a…

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.