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Tagged: Work Time
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If it takes 12 students 50 minutes to inflate 200 helium balloons, how long will it take 7 students working at the same rate (to the nearest minutes)?
if it takes 12 people 50 minutes, then it would take one person 50 times longer:
50 × 12 = 600 minutes
600 ÷ 7 = 85.7 minutes (this will be 7 times quicker)
= 86 minutesIf 3 men take 2 days to dig a trench, how long would it take for 4 men? 3 × 2
= 6 daysStep 1: Find out how long it takes for one man to dig trench. This will be longer, by 3 times.
1 man will take 3 × 2 = 6 days6 ÷ 4
= 1.5 daysStep 2: Find out how long the 4 men will take. Since there are more men now than just one, it will take shorter time, so we divide by how many men there are.
6 ÷ 4 = 1.5 daysIf there is enough food to last 7 people 4 days, how many days would there be enough food for 3 people? 7 × 4
= 28 days
Step 1: Find out how long the food would last for just one person. This will be longer, by 7 times.
1 person would have enough for 7 × 4 = 28 days28 ÷ 3
= 9.3 days
Step 2: Find out how long the food would last for 3 people. Since there are more people now, it will run out more quickly, so we divide by how many people there are.
28 ÷ 3 = 9.3 daysIf 5 teachers need 13 hours to mark the maths papers, how long would it take only 4 teachers? 5 × 13
= 65 hoursStep 1: Find out how long it would take for just one teacher. This will be longer, by 5 times.
1 teacher would take 5 × 13 = 65 hours6 ÷ 4
= 1.5 daysStep 2: Find out how long it would take 4 teachers. Since there are more teachers now, it will not take as long, so we divide by how many teachers there are.
6 ÷ 4 = 1.5 days -
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