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### Question

A can harvest a field in 19 days. B can do the same work in 4 days. C can do the same work in 10 days. In how many days will they together harvest the field?

**A**

$2{74/153}$ days.

**B**

$3{74/153}$ days.

**C**

$4{74/153}$ days.

**D**

$5{74/153}$ days.

**Soln.**

**Ans: a**

Putting x = 19, y = 4 and z = 10 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${380/153}$, which is same as: $2{74/153}$.