Math, asked by shuklaraghav99, 1 year ago

sarthak can fill a sandpit with sand in 14 days while vivan takes 35 days to fill it. Ali can empty all of the sand from a filled sandpit in 21 days. If all three start working when the pit is empty , in how many days will the sandpit be full again ?

A) 60
B) 61
C) 62
D) 56

Answers

Answered by VEDULAKRISHNACHAITAN
3

Answer:

210/11 = 19.09 days

Step-by-step explanation:

Hi,

Given that Sarthak can fill a sandpit in 14 days

In 1 day, he can fill 1/14 th of pit

Given that Vivan can fill a sandpit in 35 days

In 1 day, he can fill 1/35 th of pit

Given that Ali can empty a sandpit in 21 days

In 1 day, he can empty 1/21 th of pit

In 1 day, (1/14 + 1/35 - 1/21) of the pit would be filled

= ( 15 + 6 - 10)/210

= 11/210 th of pit would be filled in 1 day

Hence, to fill the entire pit, they require 210/11 days

Hope, it helps !

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