Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 m slower than the other. If the two buses h are 264 miles apart after 2 hours, what is the rate of each bus? mi Rate of the slower bus: mi Rate of the faster bus:

Q: A ferry leaves a harbor and travels to a resort island at an average speed of 22 mph. On the return…

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Q: Two buses leave Detroit at the same time traveling in opposite directions. One bus travels at 59mph…

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Q: A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he…

A:

Q: A 1.4 m tall child is standing next to a flagpole. The child's shadow is 1.2 m long. At the same…

A: A1.4-meter tall child is standing next to a flagpole. The child's shadow is 1.2 meters long. At the…

Q: A cyclist plans to cover the distance of 240 km. He calculated that if he is going to ride 8.4 km/h…

A:

Q: Betty and Bob made a trip of 54 miles, each by bicycle. Betty went 1.5 mi/hr faster then Bob which…

A: Given,

Q: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is x cm. The…

A: A drinking straw of length 21cm is cut into 3 pieces. The length of the first piece is =(x) cm. The…

Q: A family is planning their vacation to Disney World. They will drive from a small town outside New…

A: New Orleans, Louisiana, to Orlando, Florida, a distance of 700 miles.  Average a rate of 55 mph.…

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

Q: 3. Michael and Sam need to get water from a 50ft well, so Michael lowers Sam down the well with two…

A: The work done 'dW' in pulling up the mass 'm' lbs with velocity 'v' ftsin time interval 'dt'.dW =…

Q: airport

A:

Q: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9%…

A: Given:     A dressing uses two brands of mixture     First brand has 9% vinegar     second brand…

Q: Two trains start at the same time and travel toward each other from cities 330 mi apart. How many…

A:

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 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: 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 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: Two cars started at a common point and travel in opposite direction. Car A travels at a speed of 55…

A: We will just use basic arithmetic to solve this question. We assume that car A moves in one…

Q: A fishing line 6 ft long is cut into two pieces, one shorter than the other. Express the length of…

A: Given,A fishing line 6 ft long is cut into two pieces, one shorter than the other.

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

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Q: A train leaves Toronto at 2 p.m. A second train leaves Toronto at 5 p.m. and follows the first…

A:

Q: A ladder 8 m long is leaning against a building. How high on the building will the ladder reach when…

A: Here given  A ladder 8 m long is leaning against a building and the bottom of the ladder is x = 2 m…

Q: 3.2 m high and 6.4 m from a wal

A:

Q: The sum of the measures of ALL THREE angles in a triangle is 180° Solve for x. (2x+1)* (5x+5)

A: Form the expression for the sum of the angles of the right angle triangle. One angle is always equal…

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: 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: A truck leaves a depot at 11 A.M. and travels at a speed of 45 mph. At noon,a van leaves the same…

A: Let after x hours when the van starts it will overtake the truck.  We will use the formula:…

Q: Two ships leave a dock at the same time, one sails northeast at the rate of 9 miles per hour and the…

A: Let A and B denote the first and second ship

Q: passenger train

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Q: Two cars are driven at a constant speed on a test circuit. One makes a complete circuit in 84…

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Q: If a hiker travels at an average speed of 2.5 mi/h, how long will it take him to travel from the…

A: Let us rename the triangle as ABC,

Q: Two cars F and G leave simultaneously from the same point O. Car F goes east at an average speed of…

A: As the starting point of the cars is O thus let the distance covered by car F in one hour be OF and…

Q: At a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10 m/min.…

A: Given that at a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises 10…

Q: Find two supplementary angles such that the measure of the first angle is 30° less than five times…

A: Two angles are known as supplementary if the addition of their measures is 180 degrees.

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

Q: Karina is 5 miles to the east of Franco, and she starts walking northward at 3 mph. After 30 mins,…

A: for simplicity consider Franco is steady and Karina move 3+4=7mph to North. distance between them is…

Q: How long will it take the snail to travel 11 meters will it be more or less the 40 minutes?

A:

Q: Two mountain bikers take off from the same place at the same time. One travels north at 4 mph, and…

A: Two mountain bikers take off from the same place at the same time. One travels north at 4 mph, and…

Q: how long will it take to complete the sweeping?

A: Let the amount of time taken by the truck to sweep the entire town be t hours. The total distance…

Q: A Train travels 360 km at a uniform speed.If the speed had been 5 km/hr more,it would have taken 1…

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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…

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Q: A car travel 325 miles on 20 gallons of gas at this rate, how far could the car travel on 12 gallons…

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Q: 2 inches tall burns at a rate  inch per hour. A larger candle that is 15 inches tall burns at a rate…

A: Given that  Small candle size = 12 inches tall small candle Burning rate =   inch per hour. Large…

Q: Two motorcycles start at the same point. One motorcycle travels 15km due north and stops. The second…

A:

Q: A pasture is twice as long as it is wide. Its area is 115,200 ft2. How wide is the pasture?

A: A pasture is twice as long as it is wide. Its area is 115,200 ft2.

Q: One window washer starts at a height of 20 feet in the air and is rising at 2 ft/s. The second…

A: Let after t seconds the two window washers will be at the same height.    Given that, the first…

Q: A pilot flew a jet from city A to city B, distance of 2000 miles. On the return trip, the average…

A: