A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles upstream and then returning. The total timefor the trip was 1.5 hours. Use this information to find the speed of the current.

Q: A cattle train left the station and traveled toward the fueling station at an average speed of 18…

A: The equation that describes the relationship between the distance, time and speed can be defined as:…

Q: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

A: It took Ramon 7 hours to drive to a rock concert. On the way home, he was able to increase his…

Q: The 2013 earthquake in Bohol and Cebu had a magnitude of 7.2, while the 2012 earthquake that…

A: The Formula for the Richter scale is defined as, R=23logE104.4 it can be written as,…

Q: Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5…

A:

Q: On a 130 mi trip, a car traveled at an average speed of 55 mph and thenreduced its speed to 40 mph…

A: Let ‘t’ be the number of hours for 55 mph and (2.5 – t) hours for 40 mph.

Q: A family drove to a resort at an average speed of 25 mph and later returnedover the same road at an…

A: Time taken is the ratio of distance covered and the average speed. t=d/v

Q: it took a crew 2 hours and 40 minutes to row 6 kilometers upstream and back again. if the rate of…

A: Let x km/h be the rowing speed of the crew in still water Given the rate of the flow is 3 km/h Then…

Q: A bicycle is traveling at 12 miles per hour. How many feet will it cover in 55 seconds?

A: The speed of a bicycle is v = 12 mileshour = 123600 milessecond Time, t = 55 seconds To evaluate:…

Q: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

A: The distance from the Sun to Earth is approximately 93,000,000 miles. If light travels at a rate of…

Q: If a fan does not catch the T-shirt, after how many seconds will the T-shirt hit the ground?

A:

Q: One automobile starts out from a town at 8 a.m. and travels at an average speed rate of 60 mph. 2…

A: Let A be First automobile and B be second automobile

Q: brandon walks 3 miles at a certain speed and then he jobs 3 moles per hour faster for 9 miles. If…

A:

Q: Two campers left their campsite by canoe and paddled downstream at an average speed of 12 mph. They…

A:

Q: Conner wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a…

A: Please refer the attached image for complete solution.

Q: Find how long it takes a person to drive 201 miles on the highway if she merged into a highway at 11…

A: SOLUTION-

Q: long would it take to board all 150 passengers?

A:

Q: The average temperature on the planet Jupiter is -227°F. Convert this temperature to degrees…

A: Known fact: C=59F-32.

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

A:

Q: A boat can travel 8 miles downstream in the same amount of time it can travel 5 miles upstream. If…

A: If the speed of a boat in still water is u mph and the speed of the stream is v mph , Then  Speed of…

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

A: Let t denote the time after which the two buses are 896 miles apart.The bus which travels at 57 mph…

Q: For a set amount of time, the distance Kirk can run is directly related to his average speed. If…

A:

Q: A jet plane traveling at 600 mph overtakes a propeller-driven plane which has had a 2 hour head…

A:

Q: An airplane dropped a flare from a height of 1560 feet above a lake. How many seconds did it take…

A: The diagram of an aero plane dropping a flare is shown below.

Q: A woman cycles 8 mi/h faster than she runs. Every morning she cycles 4 mi and runs 2.5mi, for a…

A: Given:Let x be a running speedLet x+8  be a cycling speedTravel time=distancespeed

Q: a freight train leaves Austin at a speed of 60 km/h. Two hours later, an Amtrak train leaves Austin…

A: To determine the time when the two train will meet again.

Q: A laptop uses 20 watts of electricity per hour when operating, At  10 cents per kilowatt hour, how…

A: Electricity consumption by laptop = 20 watt per hour total operating time = 5 hour So, total…

Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. Enter the answer,…

A: We have to find out how many miles the space ship travelled.

Q: It took a crew 1 h 50 min to row 8 km upstream and back again. If the rate of flow of the stream was…

A: Given, It took a crew 1 h 50 min(=110 min) to row 8 km upstream and back again and the rate of flow…

Q: A camel can drink 15 gallons of water in 10 minutes. At this​ rate, how much water can the camel…

A: Given:

Q: a football player runs 80 yards per 25 seconds.If he keeps the same rate of speed,how many yards…

A:

Q: Angelina was driving home from college at 75 mph. UT is about 375 miles from Lubbock where she…

A: Distance to be travelled=375 miles Average speed=75miles/hour Since,  time=distancespeed

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: A motorboat maintained a constant speed of 13 miles per hour relative to the water in going 12 miles…

A: First, Let's express the time travelled t1 and t2 as the…

Q: A hot air balloon begins its descent at a rate of 225 feet per minute. How long will it take for the…

A: The given data is: The hot air balloon descent at the rate of -2212 feet/minute To find how long…

Q: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

A: It takes 4 hours for a boater to travel 15 miles upstream and back. If the speed of the boat in…

Q: During the first part of a trip, a canoeist covered 70 km at a certain speed. He then traveled 30 km…

A:

Q: If a train travels 372 miles In 4 hours with a constant speed, how far did the train travel in one…

A: The Formula for velocity is  Velocity(speed):- (Distance)/(Time) Here Train travels 372 miles which…

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

A:

Q: An airplane flies with a constant speed of 3а. 840 km/h. How long will it take to travel a distance…

A: In this question, concept of speed is used. Speed The rate at which an object travels a certain…

Q: An airplane averages 130 mph. If a trip from Atlanta to Charleston takes 2 hours going against the…

A: let's assume speed of airplane is u, speed of wind is v and total distance covered is 2d miles we…

Q: Beaumont, Texas, is about 150 miles from Toledo Bend. If Leo Miller leaves Beaumont at 4 a.m. and…

A: Consider that Beaumont, Texas is at a distance of 150 miles from Toledo Bend. Leo Miller leaves…

Q: A 120-gallon tank initially contains 80 lbs. of salt dissolve in 90 gal of water. Brinemcontaining…

A: Let xt be the amount of salt in tank at time t.  The amount of salt in is given by salt in=10 The…

Q: It took a crew 3 h 36 min to row 6 km upstream and back again. If the rate of flow of the stream was…

A: Let the rowing speed in still water be x km/ hour.The rate of the flow of stream is 4 km/ hour.The…

Q: A jeep drove 135 miles on a paved road at a constant speed. It then decreased its speed by 25 miles…

A: Let the speed of jeep on paved road be x. The distance traveled on paved road is 135 miles. The time…

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: A rectangular box with square base is 10 cm tall and 4 cm wide. If its height is increased by 0.5…

A: Calculate the area of base of box.

Q: Two cars start from the same point, at 11:05 AM, traveling in opposite directions at 45 and 24 mph,…

A: Two cars leaving from same destination traveling in opposite direction. Hence, their relative speed…

Q: A ship is sailling at 5 knots (nautical miles per hourlon

A: Given, Speed of ship: Vs=5knots. Direction of ship: θ=000° speed of wind: Vw=4knots Direction of…

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of…

A:

Q: A car leaves a town at 110 kilometers per hour. How long will it take a second car, travelling at…

A: Given, A car leaves a town at 110 kilometers per hour and a second car travelling at 125 kilometers…

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.