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Vijay and Sahil together complete a piece of work in 40 days, Sahil and Ranjit can complete the same work in 48 days and Ranjit and Vijay can complete the same work in 60 days. In how many days can all the three complete the same work while working together?
16
24
32
38
- Let's assume Vijay, Sahil, and Ranjit take V, S, and R days, respectively, to complete the work individually.
- Together, Vijay and Sahil complete the work in 40 days, so their combined work per day is 1/40.
- Sahil and Ranjit complete the work in 48 days, so their combined work per day is 1/48.
- Ranjit and Vijay complete the work in 60 days, so their combined work per day is 1/60.
- We add the three combined rates:
$$(V+S) + (S+R) + (R+V)$$
equals
$$(S+S+V+V+R+R)$$, simplify to
$$(2V + 2S + 2R)$$
work rates:
$$1/40 + 1/48 + 1/60 $$
- Combine these into a single rate, yielding:
$$1/24$$
- This means that Vijay, Sahil, and Ranjit can complete the work together in 24 days.
Option:2 - 24
By: Kamal Kashyap ProfileResourcesReport error
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