Two cyclists start at the same point and travel in opposite directions. One cyclist travels  9   mih  slower than the other. If the two cyclists are  81  miles apart after  3  hours, what is the rate of each cyclist?

Q: A kilometer is a bit more than .62 miles. If the speed limit along the stretch of a highway in…

A: Given that the speed limit along the stretch of a highway in Canada is 90 kph.

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: Distance travelled in second swing is 80 percent of the first swing ( As it decreases by 20…

Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist…

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster…

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 buses are driving along parall freeways that are 5 miles apart, one heading east and the other…

A: We have to find rate at which the distance between the buses is changing when they are 13 miles…

Q: A jet travels  1965  miles against a jetstream in  3  hours and  2505  miles with the…

A:

Q: Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's…

A:

Q: For a car moving at a constant speed, the distance traveled varies directly with the time spent…

A:

Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels  6…

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: If a car travels 199.2 miles in 6 hours, what is it’s average rate of speed to the nearest tenth of…

A: To determine the average rate of speed.

Q: Two trains leave towns 1716 kilometers apart at the same time and travel toward each other. One…

A: The distance between two trains =1716 kilometers Let the rate of the faster train = x kilometer/hour…

Q: The distance between two cities is 1700 km. How long will it take, in h, to drive from one city to…

A: given :-  distance  = 1700km speed      = 63mi/h                 = 63 X  1.609km/n

Q: Find the rate of each plane.

A:

Q: A motorboat takes  5  hours to travel  200  kilometers going upstream. The return trip takes  4…

A:

Q: Two trains leave towns  471  miles apart at the same time and travel toward each other. One train…

A: Two trains leave towns 471 miles apart at the same time and travel toward each other. One train…

Q: Two trains travel toward each other from points which are 195 miles apart.They travel at rate of 25…

A:

Q: A gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver stops…

A: Given, a gas tank which can hold a total of 83 liters contains only 6 liters of gas when the driver…

Q: Two cyclists leave towns 235 kilometers apart at the same time and travel toward each other. One…

A: Question- Two cyclists leave towns 235 kilometers apart at the same time and travel toward each…

Q: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on…

A:

Q: Two trains leave town 905 miles apart at the same time and travel toward each other. One train…

A: Given: Two trains leave town 905 miles apart at the same time and travel toward each other. One…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A:

Q: An airplane travels 5096 kilometers against the wind in 7 hours and 5796 kilometers with the wind in…

A:

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

A:

Q: An airplane travels 5456 kilometers against the wind in 8 hours and 6096 kilometers with the wind in…

A: We want to find rate of plane in still air and rate of wind.

Q: Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10mi/h…

A: According to the given information,   Let the one cyclist, the slower one travels at the rate of x…

Q: slower

A:

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

A:

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

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 motorboat travels 224 kilometers in 4 hours going upstream and 306 kilometers in 3 hours going…

A: Topic:- algebra

Q: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: Two automobiles are 276 miles apart and start at the same time to traveltoward each other. They…

A:

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

A:

Q: If rain is falling at a rate of 2.17 inches per hour, how much rain would you expect after 3.25…

A: Given, that  rain is falling at a rate of 2.17 inches per hour Means in 1 hour 2.17 inches rain…

Q: To get to work, Santa jogs 3 km to the train and then rides the remaining 5 km. If the train goes 40…

A: Topic:- time and Speed

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

A: Let the speed of second plane be x mph Then speed of first plane =(x-25) mph Distance travelled by…

Q: An airplane travels 3040 kilometers against the wind in 4 hours and 3520 kilometers with the wind in…

A: Let the rate of the plane in still air is = x km/h and the rate of the wind is=y km/h So the speed…

Q: At a given average speed, the distance traveled by a vehicle varies directly as the time. If a…

A: D= 156 miles T = 3 hours

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: An airplane travels 1950 km against the wind in 3 hours and 2340 km with the wind in the same amount…

A: Given Data: The distance covered by the aeroplane while travelling against the wind is: d1=1950 km…

Q: a hot air balloon was rising at a rate of 494 feet per minute convert this speed to meters per…

A: This is simple conversation we will convert both according to given data.

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 8 m/sec…

A:

Q: A jet travels 4576 mi against a jetstream in 8 hours and  5696 mi with the jetstream in the same…

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed…

Q: A boat man rows to a place 50 miles distant and back in 18 hours back, find that he can row 3 miles…

A: The rate of the stream = 1/2 ( a-b ) miles / hour where a is the speed downstream and b is the speed…

Q: A car travels at a rate of (4x2 − 2). What is the distance this car will travelin (3x − 8) hours?

A: Car travel at rate of (4x2 − 2) which means in 1 hour car travel (4x2 − 2) units

Q: Duterte and Bong Go on bikes are separated by 400 meters. Duterte starts riding north at a rate of 9…

A:

Q: A jet travels 4074 miles against a jet stream in 7 hours and 5054 miles with the jet stream in the…

A:

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

A:

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.