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### Question

A can harvest a field in 5 days. B can do the same work in 14 days. C can do the same work in 3 days. In how many days will they together harvest the field?

**A**

$1{83/127}$ days.

**B**

$2{83/127}$ days.

**C**

$3{83/127}$ days.

**D**

$4{83/127}$ days.

**Soln.**

**Ans: a**

Putting x = 5, y = 14 and z = 3 in the shortcut method, we get ${xyz}/{xy + zy + zx}$ = ${210/127}$, which is same as: $1{83/127}$.