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Minho, Jisoo, and Taeyang are assigned the task of adjusting insurance policy premiums. Minho would take 1 hour longer than Jisoo to complete the task but one-third as long as Taeyang . If they worked in pairs, Minho and Taeyang would take 75 percent longer than Taeyang and Jisoo.

If Minho, Jisoo, and Taeyang worked together, how long would it take them to complete the task ?

Let the time in hours taken by Minho, Jisoo and Taeyang to complete the task alone are m, j & t respectively

m = j + 1 = t/3
t=3m = 3j+3

m*t/(m+t) = 1.75*t*j/(t+j) =
4(j+1)(3j+3+j) = 7*j(j+1+3j+3)
4(j+1)(4j+3) = 7j(4j+4)
4j+3 = 7j
j=1
m=2
t= 6

1/j + 1/m + 1/t = 1 + 1/2 + 1/6 = 10/6 = 5/3

Time taken by all of them to complete the task working together = 3/5 hours =36 minutes

IMO B
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