A red truck moving 100 km/h overtakes a 1.5 km long train moving in the same direction on a track parallel to the road. If the speed of the train is 80.0 km/h l, how long in seconds does it take the car to pass it, and how far (meter) will the car have travelled in this time?

Q: An aeroplane left 30 minutes later than its scheduled time; and in order to reach its destination…

A: let the usual speed of aeroplane = x km/hr and the increased speed = (x+250) km/hr total distance…

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: A 16-foot long Ford Fusion wants to pass a 50-foot truck traveling at 55 mi/h. How fast must the car…

A: The length of Ford Fusion is 16 foot The length of the truck is 50 foot To pass the truck…

Q: A neighborhood carnival has a merrygo-round whose radius is 25 feet.If the time for one revolution…

A: Since,it is known that the speed can be calculated by using the formula speed=Radius×Angular…

Q: A kite is 40 ft. high with 50 ft. of cord out. If the kite moves horizontally at 5 mi. per hr.…

A: Draw the position of kite as shown below.

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: A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.

A:

Q: Movement along the San Andreas Fault Averages 6 cm/year. At this rate, how long will it take for Los…

A: Given : Average movement of San Andreas Fault= 6 cm/year

Q: A train 220 m long is running with a speed of 59 kmph . In what time wil it pass a man who is…

A:

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

A: Given:

Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x <…

A: It can go 600/x miles in 1 gallon. And cost  of 1 gallon is 2.80.So cost for (600/x) miles =…

Q: A car traveling at 45 miles per hour is brought to a stop, at constant deceleration, 132 feet from…

A: Given: A car traveling at 45 miles per hour.

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: If the car is traveling 65 miles per hour, about how many times per second does the wheel rotate?

A: we know that 1 mile=1.609344 kmand car is travelling 65 miles =65×1.609344 km=104.60 kmthat is car…

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

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 student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

A: A student jogs 1 mi at a rate of 8mph and jogs back at a rate of 6 mph. Does it seem reasonable that…

Q: If the volume of a different sphere is increasing at a rate of 24 cubic inches per minutes and the…

A:

Q: Suppose a cyclist was using a 150-millimeter-diameter chainring and an80-millimeter- diameter…

A: Given: Let, dc  and rc denotes the diameter and radius of Chainring respectively and ds  and  rs…

Q: Explain why if a runner completes a 6.2-mi (10-km) race in 32 min, then he must have been running at…

A: A runner completes a 6.2 miles race in 32 minutes.

Q: A ball is dropped from the top of a building 400 ft high.How long does it take to reach the ground?…

A:

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

A:

Q: The horsepower (hp) that a shaft can safelytransmit varies jointly with its speed (in revolutions…

A: Let the diameter of the shaft is d and the speed is 's' and horsepower be h According to the…

Q: A ladder 10 feet long is leaning against a wall, with the foot of the ladder 8 feet away from the…

A: To determine the rate at which the ladder is sliding.

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: 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: If a car is traveling at 89.7mph, how fast is that in mm/s?

A:

Q: A rocket is launched with an initial upward velocity of 320 feet per second from an Initial height…

A: If the initial upward velocity and initial height of an object is given then the height function of…

Q: If a train that was traveling at 80 kilometres per hour made just complete a 280 kilometre trip, how…

A: speed = 80 km/hr distance = 280 km time = distance / speed

Q: At an average speed of 56 km/h how far can you travel in 6 hours?

A: Given: Average speed=56 km/h To Find: Distance traveled in 6 hours

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

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: two cars live in town and travel in opposite directions. one car travels at the rate of 45 kph and…

A: Given One car speed = 45 kphother car speed = 55kph

Q: The radius of the tires of a car is 18 inches, and they are revolving at the rate of 673 revolutions…

A: To find the circumference of the tyre.

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

A:

Q: A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with…

A: Given  The diameter of cylindrical vessel  dc=26 cm. The altitude of cylindrical vessel is H=500…

Q: If a lion can run at 30mph for 48 meters, how long can it maintain its top speed?

A: Given:A lion can run at 30mph for 48 meters.The formula relating the speed, distance and time is…

Q: Find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet…

A:

Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

A:

Q: A kite travels upwards at 30 mph, while a kid runs away at 6mph. What rate is the distance between…

A:

Q: If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet…

A: applying the concet of projectile motion, using, height 'h' after t seconds is given by the…

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 ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: A ladder 25 feet long is leaning against a vertical wall. The bottom of the ladder is pulled…

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

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 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.