slower than the other. If the two cyclists are 165 miles apart after Two cyclists start at the same point and travel in opposite directions. One cyclist travels 7 5 hours, what is the rate of each cyclist? mi Rate of the slower cyclist: h mi Rate of the faster cyclist:

Q: Two cars leave the same place at the same time. The first drives in a straight line N35°W at 30…

A: According to Law of cosineC2=a2+b2−2abcosθ

Q: A boat can travel 26 mph in still water. If the boat can travel 100 miles with the current in the…

A: Consider the speed of boat is v=26 mph. The distance that the boat can travel with the current is…

Q: A plane traveling with the wind travels 1100 miles in 5 hours. The return trip is against the wind…

A:

Q: A cyclist plans to cover the distance of 240 km. He calculated that if he is going to ride 8.4 km/h…

A:

Q: Two cyclists start from the same point and ride in opposite directions. Onecyclist rides twice as…

A:

Q: Two buses leave a station at the same time and travel in opposite directions. One bus travel 20 mi/h…

A: If first bus travels with speed r then second bus travels with speed r+20. Distance each bus travels…

Q: Two buses leave towns 302 miles apart at the same time and travel toward each other. One bus travels…

A: Buses travelling towards each other have an effective (relative) velocity of their added velocities.…

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

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: Suppose a trip from the dormitory to the late at 30 mph takes 12 minutes longer than the return trip…

A: Please refer the attached image for complete solution. THANK YOU.

Q: In still water, your small boat average is 8 miles per hour. It takes you the same amount of time to…

A:

Q: Two small planes start from the same point and fly in opposite directions.The first plan is flying…

A:

Q: A train travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

A:

Q: airport

A:

Q: With the current, you can canoe 24 miles in 4 hours. Against the same current, you can canoe only i…

A: With the current , you can canoe 24 miles in 4 hours. Against the same current, you can canoe only…

Q: takes 12 seconds for two trains to pass each other when moving in opposite directions. If they move…

A:

Q: Two trains start at the same time from the same place and travel in oppositedirections. If the rate…

A: Let x and x+6 (miles per hour) be the speed of the first  train and second train respectively. Then…

Q: Two buses leave a station at the same time and travel in opposite directions. One bus travels 8kmh…

A: Since buses travels in opposite direction so if xkm/hr and ykm/hr are the speed to two buses then…

Q: A train travelsa distance of 300 km at constant speed.If the speed of the trainis increased by 5km…

A:

Q: The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile…

A: Solution

Q: The distance between New York and London is 3469 miles. If an airplane has a cruising speed of 350…

A:

Q: mi slower than the other. If they meet in 4 hours, Two cyclists leave towns 160 miles apart at the…

A:

Q: Flying against the jet stream, a jet travels 1880 mi in 4 hours. Flying with the jet stream, the…

A: Let the rate of still air be x miles/hr and the rate of the jet stream be y miles/hr.

Q: With the current, you can row 9 miles in 2 hours. Against the current, your return trip takes 6…

A: Distance = 9 miles Time with the current = 2 hours return time = 6 hours

Q: A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds? meters…

A: We have given that Speed = 40 kilometer per hour  time = 2 second

Q: A Train travels 360 km at a uniform speed. If the speed had been 5 km/ hr more, it would have taken…

A: Given,          A train travels 360 m at a uniform speed. The speed had been 5 km/hr more, it…

Q: A car is driving at 30 kilometers per hour. How far, in meters, does it travel in 3 seconds? meters…

A:

Q: Two trains leave towns 835 miles apart at the same time and travel toward each other. One train…

A:

Q: A cyclist completes a journey of 500m in 22 seconds, part of the way at 10m/s and the remainder at…

A:

Q: .A car travels 20 kph faster than a truck. The car goes 360 km in 3 hours less than the truck  goes…

A:

Q: As part of a conditioning program, a jogger ran 12 mi in the same amount of time as it took a…

A:

Q: Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 m…

A:

Q: A car is driving at 50 kilometers per hour. How far, in meters, does it travel in 2 seconds? meters…

A: Here use conversion of unit that is kilometers to meters and hours to second

Q: two families that live 270 miles apart plan to meet for an afternoon picnic. to share the driving,…

A: Total distance between Two families = 270 miles

Q: If a plane flies 500 mph in calm air and the rate of the wind is r miles per hour, then the rate of…

A: Given that a plane flies 500 mph in calm air and the rate of the wind is r miles per hour. To find:…

Q: At noon, ship A is 100km100km west of ship B. Ship A is sailing south at 35km/h35km/h and ship B is…

A: Since, ship started at noon or (12:00 pm)Let's assume 't' hours after noon.Ship A is 100km west of…

Q: Ahmed can run 4.3 m/s and Khaled can run 6.7 m/s. Ahmed is given a head start of 24 meters since he…

A:

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: A sink can be filled from the fsucet in 5 minutes.  It takes only 3 minutes to empty the sink when…

A:

Q: Suppose two trains leave a station at the same time, traveling in opposite directions. Train B…

A:

Q: A cyclist rides at a rate of 16 mph for 45 min.

A: Speed of cyclist is 16 mph i.e. In 1 hour cyclist cover 16 miles

Q: Two cars F and G leave simultaneously from the same point O. Car F goes east at an average speed of…

A: As the starting point of the cars is O thus let the distance covered by car F in one hour be OF and…

Q: With the current, you can canoe 24 miles in 4 hours. Against the samecurrent, you can canoe only 3/4…

A:

Q: the rental rate at a Rent A Chinch Mobile is $30 per day plus $0.25 per mile driven.  How much…

A: Given,  Rent per day (fixed) = $ 30 Rent per mile driven = $0.25   For 100 mile rental cost,  Cost =…

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A:

Q: Two joggers start from opposite ends of an 8 mile course running towards each other One jogger is…

A: Let after x hours they will meet. We will use the formula: Distance= speed*time  Speed of first…

Q: Mr. Domingo drives to Laguna for the weekend at an average speed of 105km/hr and the trip takes…

A: Given that Mr. Domingo drives to Laguna for the weekend at an average speed of 105 km/hr and the…

Q: Two​ hikers, Sonia and​ Tony, leave the same point at the same time. Sonia walks due east at the…

A: Given, Speed of Sonia = 4 miles/hr Speed of Tony = 3.2 miles/hr O = Starting Point Let, Sp =…

Q: liver traveled 100 km at a certain speed. In going back, he increased his speed by 10 km/hr. If it…

A: Given :Oliver traveled at a certain speed = 100 kmIn going back, he increased his speed by 10…

Q: be covered by a search and rescue squad ,. Approximately , by how much does the area increase if the…

A: Given query is to find the increase in area if radius is increased by 500 meter.

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.