Martha and Bill are out kayaking. The both put in at a point on the south shore of a large lake, but Martha gets a 30 minute head start. Martha paddles northeast at a rate of 2.5 miles per hour. Bill paddles northwest at a rate of 3.5 miles per hour. How fast is the distance between them changing when Martha has been paddling for 1.5 hours?

Q: Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from…

A: Let us consider the above diagram - Let Jack is at point A and Diane is at point B. Given that after…

Q: the shore to the child. Martina runs along the shore for a while and then jumps into the water and…

A: To determine how far along the shore Martina should run before jumping into the water, we need to…

Q: A Metra commuter train leaves Union Station in Chicago at 12pm. Two hourslater, an Amtrak train…

A:

Q: 4. Bobby and Jaime are very competitive. They want to impress their classmate Lily by hoving her how…

A: 4) In this question, we need to determine who will win the race.    Please note that 1 yard=3 feet.

Q: Your friend is sitting on a tree branch 6 feet above the ground when you shoot him with a high…

A: Given,

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship…

A: Given that At noon, ship A is 50 nautical miles due west of ship B Ship A is sailing west at 23…

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: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: Evan starts out on a snowmobile trail and travels at 35 km/h. Bonnie leaves 10 min later, travelling…

A:

Q: A train is starting at noon travels north at 40mph. Another train starting from the same point at 2…

A: Let's find speed of trains at 3 pm.

Q: Andrea has 6 hours to spend training for an upcoming race. She completes her training by running…

A: Let d be the distance for an upcoming race.According to the given data, she runs at a speed of 9 mph…

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: Andy is training for a kayak competition between Molokai and Oahu. He knows his speed is 8 mph with…

A:

Q: Travel: Recently Mr. and Mrs. Roberts s their vacation in San Francisco, which is 540 miles from…

A: The distance between their home and San Francisco is 540 miles. While returning home from San…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.