Two automobiles are leaving from the same point and are traveling in opposite directions. One is going 10 miles per hour faster than the other is. After traveling two hours, they are 160 miles apart. What is the speed of the slower automobile?

Q: A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow…

A: Given that A fast train takes 3 hours less than a slow train for a journey of 600kms The speed of a…

Q: If a car travelled 5 Kilometers an hour faster. it would take one hoür less to travel 210…

A: Let the original speed be x.Then, increased speed will be x+5Time taken with increased speed =…

Q: A small radio transmitter broadcasts in a 62 mile radius. If you drive along a straight line from a…

A: Consider the transmitter at the origin. The radio transmitter broadcasts in a 62 mile radius ∴ The…

Q: Kimberlé and Francesca both leave the internet cafe at the same time, but in opposite directions. If…

A: We have to calculate Kimberle's speed and Francesca's speed

Q: A man walks at the rate of 4 miles per hour. How far can he walk into thecountry and ride back on a…

A:

Q: Darlus has been on a road trip for a few days. On the morning of day 5, he starts driving, and after…

A: Given that - Darius has been on a road trip for a few days. On the morning of day 5, he starts…

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: Two cars are each 100 miles away from the town of Tucumcari, one directly to the north and the other…

A: Consider the given information: tanθ=100100tanθ=1θ=tan−11θ=45° Hence, Along the line AB across…

Q: Two busses leave the terminal at the same time. The first bus drives north at 40 mph, and the second…

A: Speed of buses 40 mph and 30 mph after one half hour distance travel by bus  Distance = speed *…

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: Two cars leave the same location at the same time and travel in opposite directions. One car’s speed…

A: Given: Velocity of one car is 65 mph and another car is 45 mph. Formula Used:…

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: Kathleen and Cade Williams leave simultaneously from the same point, hiking in opposite directions,…

A: Given that, Kathleen walking at 4 miles per hour and Cade at 5 mph. Their walkie­talkies range is…

Q: After riding at a steady rate for 60 miles, a bicyclist had a flat tire and walked 8 miles to a…

A: Let the walking rate be x The cycling rate was 3 times faster than the walking rate. Therefore, The…

Q: Two automobiles going in opposite directions leave at the same time . One automobile travels 20 mph…

A:

Q: Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle…

A:

Q: Two cars leave Pecos, Texas, at the same time and both travel east on Interstate 20. The first car’s…

A: Given, first car’s speed is 70 mph and the second car’s speed is 58 mph. As both are travelling in…

Q: Two men are traveling in opposite directions at the rate of 20 and 30 miles an hour at the same time…

A: Let after x hours they will be 300 miles apart. We are going to use the formula: Distance = Speed *…

Q: A truck and a van leave the same location at the same time and travel in opposite directions. The…

A: Given : A truck and a van leave the same location at the same time and travel in opposite…

Q: Two cars start from the same point, at 9:15 AM, traveling in opposite directions at 40 and 50 mph,…

A: given  when 315 miles apart    B←50MPH→40MPHA

Q: A salesman drives from Ajax to Barrington, a distance of 166 mi, at a steady speed. He then…

A: Let us suppose that the salesman was driving between Ajax and Barrington with speed s mi/hr.Then his…

Q: An 8.5 metre-wide pool is 4.5 times longer than it is wide.   If you were to swim diagonally across…

A: To find the Distance traveled when travelled diagonally after 6 times

Q: A car travels 50 mph and passes a truck traveling 40 mph. How long will it take the car to be more…

A: Speed of car 50 mph  Speed of truck 40 mph To find time in which car will be 16 mile ahead of truck

Q: Two hikers are 14 miles apart and walking toward each other. They meet in 2 hours. Find the rate…

A: Let x=rate of one hikerthen 1.8x is the rate of another hiker14=2*(x+1.8x)=5.6x

Q: Two trains leave Los Angeles simultaneously traveling on the same track in opposite directions at…

A: Given: Two trains leave Los Angles simultaneously traveling on the same track in opposite directions…

Q: slower

A:

Q: A car travels for 2 hours at an average speed of 55 miles per hour, then travels for 30 minutes at…

A: The formula for average speed is given by, Average speed= Total distanceTotal time That implies,…

Q: Two automobiles leave a city at a same time and travel along straight highways that in differ in…

A: Topic:- trigonometry

Q: Two planes left the same airport traveling in opposite directions at 700 km/h and 750 km/h…

A: Given,         Two planes left the same airport traveling in opposite directions at 700 km/h…

Q: A small radio transmitter broadcasts in a 59 mile radius. If you drive along a straight line from a…

A:

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

A:

Q: Thaddeus and Ian start at the same location and drive in opposite​ directions, but leave at…

A:

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: You are driving your car away from home on a road trip. After 4 hours, you are 178 miles away. If…

A: You are driving your car away from home on a road trip. After 4 hours, you are 178 miles away. If…

Q: Two sailboats, one averaging 20 miles per hour and the other 18 miles per hour, start at the same…

A: given,           speed of first boat(A) = 20 mileshour         speed of second boat (B)=18 mileshour…

Q: Two planes leave the same airport and travel in opposite directions. Their speeds are 150 miles per…

A: Given that two planes leave the same airport and travel in opposite direction. Their speeds are 150…

Q: Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel in opposite…

A: Given,            Two​ bikers, Jose and​ Luis, start at the same point at the same time and travel…

Q: Two runners, one averaging 8 miles per hour and the other 6 miles per hour, start at the same place…

A: Consider the given information. Make the table for the given information.   distance  rate…

Q: Two buses leave Phoenix at the same time traveling in opposite directions. One bus travels at 57⁢mph…

A: Given,           Two buses leave Phoenix at the same time traveling in opposite directions. One bus…

Q: The digits of a positive two-digit number are reversed, resulting a new number. It turns out that…

A: A two digit no. Is given by as: 10a+b

Q: An airliner flies at 510 mph in the jet stream, but only 270 mph returning against it. What is the…

A:

Q: Two skiers begin skiing along a trail at the same time. The faster skier averages 15 miles per hour…

A: We know that S = DT, where S is speed, D is distance and T is time taken Hence T = DS

Q: Two cars are each 100 miles away from the town of Tucumcari, one directly to the north and the other…

A:

Q: Two hikers are 15 miles apart and walking toward each other. They meet in 2 hours. Find the rate of…

A: Distance between two hikers which are at opposite ends of a journey and moving towards each other=15…

Q: Suppose two trains leave Corpus Christi, Texas, at the same time, traveling in opposite directions.…

A: Please refer to the image below

Q: If you walk at 1 km/h down the aisle toward the front of a train that is moving at 60 km/h, what is…

A: We have,  you are moving at 1 km/h down the aisle toward the front of a train. and train is moving…

Q: Captain Ri Jyeong Hyeok and Yoon Se Ri had an argument at the border between North and South Korea.…

A: Given condition:  OA = The distance travelled by Captain Ri in 2+t hr at speed 8kph.OB = The…

Q: Jaime and Jason are 168 miles apart, traveling towards each other. If Jason travels 15 mph and Jaime…

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.