A motorboat heads upstream a distance of 24 miles on a river whose current is running at 3 miles per hour (mi/h). The trip up and back takes 6 hours. Assuming that the motorboat maintained a constant speed relative to the water, what was its speed?

Q: At 1:00pm, Ship A is 50 miles west of Ship B. Ship A is sailing north at 25 mph and Ship B is…

A: Construct the diagram: The triangles are similar, so  25t20t=x50-xx=2509

Q: A red truck moving 100 km/h overtakes a 1.5 km long train moving in the same direction on a track…

A:

Q: A machine that drills holes for wells drilled to a depth of -72 feet in one day (24 hours). If the…

A: A constant rate signifies that the work done during each moment of is same. Equations can be formed…

Q: How long will it take a jogger jogging at 5 mph to catch up with a walker walking at 3 mph with one…

A: Speed of jogger 5mph Speed of walker 3mph

Q: A small radio transmitter broadcasts in a 27 mile radius. If you drive along a straight line from a…

A: According to questionA small radio transmitter broadcasts in a 27 mile radius.

Q: A person running at 45 kilometers per hour (KPH) is riding a train at 120 KPH going to Manila. Who…

A: Given that , Speed of a person = 45KPH  Speed of a train = 120KPH  Because, we have same unit of…

Q: The current in a typical Mississippi River shipping route flows at a rate of 4 mph. In order for a…

A: Let the speed of barge in still water be x miles per hour. Given the speed of river is 4 miles per…

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: the distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles…

A: From the given data

Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A: distance between the ship A and B is 150 km speed of ship A is 35km/h so at time t, the distance…

Q: A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a…

A: Given  Radius=29 miles  North of the transmitter=39 miles  East of the transmitter=32 miles

Q: as a result of adverse winds the average speed of a hydrofoil on the return leg of a 180 mile round…

A: Let x be the average speed of the hydrofoil on going out x-15 is the average speed of the hydrofoil…

Q: A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half…

A: Given:

Q: With snow on the ground and falling at a constant rate, a snowplow began plowing down a long…

A:

Q: A driver sets out on a 20-mile trip. When he has gone halfway he finds he has averaged 25 mph. At…

A: In order to average 40 mph on a 20-mile trip, the time histotal trip must take is found by the…

Q: A car accelerates constantly from speed 0 m/s to 60 m/s in 30 seconds, remains at this speed for 20…

A: First step is to write down all the data that we have.

Q: One speed skater starts across a frozen lake at an average speed of 9 m/s. Ten seconds later, a…

A: Let t= time in second d=distance Also, consider second skater time in second is t .

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Given that  At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B…

Q: An airplane travels at 165 km/h for 3 hr in a direction of 174 from a local airport. At the end of…

A:

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

A:

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A: Here I am attaching image so that you understand each and every step.

Q: At noon, ship A is sailing north at a speed of 7mph, at the same time ship B, 5 miles west of ship…

A: Given, at noon, Ship A is sailing north at a speed of 7mph. At the same time, Ship B, which is 5…

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 automobile uses gasoline at a rate of 12 kilometres per litre and has a 65 litre tank. How far…

A:

Q: Two buses are driving along parallel freeways that are 12 miles apart with one bus heading east and…

A:

Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

Q: At what fraction of the speed of light does Alice have to travel relative to Bob so that Alice does…

A: Given Alice does everything three times as slowly as Bob Find The fraction of speed

Q: A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a…

A: Given:   Assuming transmitter is located (0, 0). From a city 37 miles north of the transmitter (0,…

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

A:

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Take the position of ship B as the origin. So the coordinates of ship A are: (-170,0) Coordinates of…

Q: A bus leaves a city at 12:00 pm and travels 50 miles per hour. A car leaves the same city at 12:30…

A: Given that, the bus leaves a half -hour before the car. The speed(r) of the bus is 50 miles per…

Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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

A:

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

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: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: This question can be solved using the concept of proportionality

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

A:

Q: A boat moves at a rate of 13 mph in still water. If the river's current flows at a rate of 3mph, how…

A: given that: A boat moves at a rate of 13 mph in still water. the river's current flows at a rate of…

Q: An aircraft is climbing at a constant 32 degree angle to the horizontal. If the speed is 550 mph,…

A: Refer to the question . An aircraft is climbing at a constant 32 degree angle to the horizontal and…

Q: the average monthly bill for wireless subscribers from 1985 to 2008 can be modeled by…

A:

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: A Pontiac Grand Am enters the turnpike traveling at 50mph. One-half hour later, a Ford Mustang…

A:

Q: A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road…

A: the car is at the position A at the start.  it travelled in the East direction that is from A to B .…

Q: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, has hada 3 hour head start. How…

A: Ler x miles from the starting point the car overtakes the cyclist. We will use the formula: time…

Q: A builder sells an 1,800 ft2 home for $117,000. What would be the price (in dollars) of a 2,600 ft2…

A: A builder sells an 1,800 ft2 home for $117,000. To find the price (in dollars) of a 2,600 ft2 home…

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.