Turito Academy

Test Prep

Global form fields

Let the number of days be represented as x and the number of men be represented as y. The number of men will increase if the number of days are decreased so we can conclude that y is in inverse relationship with x. Let’s say the proportional relationship is given as y =  <img src="data:image/png;base64,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" class="Wirisformula" alt="k over x" width="19" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»k«/mi»«mi»x«/mi»«/mfrac»«/math»'/> ……..(1) Step 1 of 2: It is given that 32 men can reap a field in 15 days i.e. x = 15 and y = 32. Putting the values in equation (1) 32 = <img src="data:image/png;base64,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" class="Wirisformula" alt="k over 15" width="28" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»k«/mi»«mn»15«/mn»«/mfrac»«/math»'/> k = 32 <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAC1JREFUeNpjYMAE1VDMQKIcUYpJMgCbJrIMQDZoNyUGUMUQir1DccBSLYrpDwAMJw7rHduE6QAAAE50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4RDc7PC9tbz48L21hdGg+HjBxXgAAAABJRU5ErkJggg==" class="Wirisformula" alt="cross times" width="17" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#215;«/mo»«/math»'/> 15  = 480 Step 2 of 2: Now we are asked to find the number of days taken by 20 men. Let the number of days be “d”. So, x = d and y = 20. Putting the values in equation (1) 20 = <img src="data:image/png;base64,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" class="Wirisformula" alt="k over d" width="19" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»k«/mi»«mi»d«/mi»«/mfrac»«/math»'/> Now, put the value of k = 480 20 = <img src="data:image/png;base64,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" class="Wirisformula" alt="480 over d" width="38" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»480«/mn»«mi»d«/mi»«/mfrac»«/math»'/> d = <img src="data:image/png;base64,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" class="Wirisformula" alt="480 over d" width="38" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»480«/mn»«mi»d«/mi»«/mfrac»«/math»'/> d = 24 days Final Answer: Hence, the number of days taken by 20 men to reap the field are 24 days.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

Solution for the question - if 32 men can reap a field in 15 days, in how many days can 20 men reap thesame field?