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Solutions
1/Kunal + 1/Himesh + 1/Hamid = 1/15 ------------ (i)
1/Kunal + 1/Himesh + 1/Hamid + 1/Dinesh = 1/10 ----------- (ii)
1/Dinesh + 1/Himesh = 1/25 ------------ (iii)
From (i) and (ii)
1/15 + 1/Dinesh = 1/10
=> 1/Dinesh = 1/10 – 1/15
=> 1/Dinesh = (3 – 2)/30
=> 1/Dinesh = 1/30
From (iii)
1/30 + 1/Himesh = 1/25
=> 1/Himesh = 1/25 – 1/30
=> 1/Himesh = (6 – 5)/150
=> 1/Himesh = 1/150
From (i)
1/Kunal + 1/Hamid + 1/150 = 1/15
=> 1/Kunal + 1/Hamid = 1/15 – 1/150
=> 1/kunal + 1/Hamid = (10 – 1)/150
=> 1/Kunal + 1/Hamid = 9/150
=> 1/Kunal + 1/Hamid = 3/50
Let, required number of days = n
n x (1/30 + 3/50) = 1
=> n x (5 + 9)/150 = 1
=> n = 150/14
=> n = 75/7 days