Question

.there are 720 boxes g and m can fill 20 boxes in one hour m and h canfill 24 boxes in one hour h and g canfill 15 boxes in one hour how much time it takes to fill 720 boxes by all the three people.

Answer 1

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Answer 2

Answer:

$24\frac{24}{59}\text{ hours}$

Step-by-step explanation:

Given,

g and m can fill 20 boxes in one hour,

⇒  1 hour work of g and m = 20,

m and h can fill 24 boxes in one hour

⇒  1 hour work of m and h = 24,

h and g can fill 15 boxes in one hour,

⇒  1 hour work of h and g = 15,

Thus,

2 × ( 1 hour work of all three ) = 1 hour work of g and m + 1 hour work of m and h + 1 hour work of h and g

= 20 + 24 + 15

= 59

⇒ 1 hour work of all three when they work together = $\frac{59}{2}$

Thus, the time taken by them = $\frac{\text{Total work}}{\text{Their one hour work}}$

$=\frac{720}{59/2}$

$=\frac{1440}{59}$

$=24\frac{24}{59}\text{ hours}$