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Solution:

We are given that the executive spent time in New York, Boston, and Los Angeles in the ratio \(2 : 5 : 8\) respectively.

Let us assume the number of days executive spend days in New York, Boston, and Los Angeles is \(2x, 5x\) and \(8x\) respectively.

we know that there were total 180 day period.

So we can say: \(2x+5x+8x=180\)

\(⇒ 15x=180\)

\(⇒x=\frac{180}{15}\)

\(⇒x=12\)

we are asked the number of days the executive spends in Boston.

We know the number of days the executive spends in Boston \(= 5x = 5\times 12 = 60\).

Hence the right answer is Option C.
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