8 children can eat 9 mangos in 3 minute .how long it will take for 24 children to eat 27 mango at same rate
Answers
Answer:
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Step-by-step explanation:
We can start the problem by using the formula:
m1 * t1 * r1 = m2 * t2 * r2
Where:
m1 = number of mangos
t1 = time taken
r1 = rate of eating
m2 = number of mangos
t2 = time taken
r2 = rate of eating
Let's use this formula to solve the problem:
For the first group of 8 children eating 9 mangos in 3 minutes, we have:
m1 = 9
t1 = 3 minutes
r1 = 8 children
To find the rate of eating for each child, we divide both sides of the equation by 8:
m1 * t1 * r1 / 8 = m2 * t2 * r2 / 8
9 * 3 * r1 / 8 = 27 * t2 * r2 / 24
Simplifying, we get:
r1 = 3r2
r2 = r1 / 3
Substituting r1 in terms of r2, we get:
9 * 3 * r2 / 8 = 27 * t2 * r2 / 24
Simplifying, we get:
t2 = 4.5 minutes
Therefore, it will take 24 children 4.5 minutes to eat 27 mangos at the same rate as 8 children eating 9 mangos in 3 minutes.