![]() The larger tube, if works separately, can fill the reservoir in 18 hours faster than the smaller tube. Two tubes, working together, can fill the reservoir with the liquid in 12 hours. If Bill gets the job done in 15 days, then Andrew makes it in 10 days, working separately. So, the potentially correct solution is : Bill covers the roof in 15 days. The second root does not fit the given conditions: if Bill covers the roof in two days, then Andrew has 2-5=-3 days, which has no sense. Apply the quadratic formula (see the lesson Introduction into Quadratic Equations) to solve this equation. To simplify this equation, multiply both sides by, then transfer all terms from the right side to the left with the opposite signs, collect the common termsĪnd adjust the signs. Since they can cover the entire roof in 6 days working together, the equation for the unknown value is as follows: Working together, Andrew and Bill make of the whole work in each single day. Thus, in one single day Andrew covers part of the roof area, while Bill covers part of the roof area. If Andrew works alone, he can complete this job in days. Let be the number of days for Bill to cover the roof, working alone. How long will it take Bill to make this job? Working together and separately to complete a jobĪndrew and Bill, working together, can cover the roof of a house in 6 days.Īndrew, working alone, can complete this job in 5 days faster than Bill. Under the topic Travel and Distance of the section Word problems in this site. The speed of the current is 1 mile/hour.įor more examples of solved word problems of this type see the lesson Wind and Current problems solvable by quadratic equations To simplify the equation, multiply both sides by and collect the common terms. So, the total time up and back is, and it is equal to 7.5 hours, according to the problem input. When motorboat moves downstream, its speed relative to the bank of the river is miles/hour, and the time spent moving downstream is hours. ![]() When motorboat moves upstream, its speed relative to the bank of the river is miles/hour, and the time spent moving upstream is hours. ![]() Let be the unknown current speed of the river in miles/hour. The entire trip up and back takes 7.5 hours. Motorboat moving upstream and downstream on a riverĪ motorboat makes a round trip on a river 56 miles upstream and 56 miles downstream, maintaining the constant speed 15 miles per hour Solution of quadratic equations is described in the lesson Introduction into Quadratic Equations in this module. In this lesson we present some typical word problems that may be solved using quadratic equations. Using quadratic equations to solve word problems ![]()
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