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: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both…

A: To Determine: How long will it take for the tub to fill if both faucets are open and the stopper is…

Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A: The objective of this question is to find the rate at which the person is moving away from the pipe.…

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: 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: Jessica is in a kayak 4 km offshore from a straight road. She wishes to reach a hiking trail which…

A: The kayak is  km off shore from the road and the hiking trail is located  km down the road from the…

Q: Jill has a swimming pool in her backyard. It is shaped like a rectangle and measures approximately…

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: 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: A railway line connects Parnac station with Rougelle station. The distance between these two…

A: It is given that the distance between these two stations is 150 km. A train departs from Parnac (P)…

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.