Here’s and example of a **SMART MATH** problem for **RATIO PROPORTION.**

**Problem**

**Problem**

A can do a piece of work in 10 days, B can do the same in 30 days and C in 60 days. If A is assisted on alternate days by B and C, in how many days is the work finished?

- 4 days
- 5 days
- 6 days
- 7 days
- 8 days

**The Usual Method**

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If A and B work together, of the work is completed.

If A and C work together, of the work is completed.

Hence if in 2 days, A & B and A & C work alternately, of the work is completed.

If of the work is completed in 2 days, to complete the whole work, it will take 8 days.

**(Ans: 4)**

*Estimated Time to arrive at the answer = 60 seconds.*

**Using Technique**

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Since B and C work on alternate days with A, then in every consecutive working days, A will work for both the days and B and C for 1 day each.

Hence, A will finish of the work in 2 days

B will finish of the work in 1 day

C will finish of the work in 1 day

Thus, in 2 consecutive days, of the work is done. Hence, it will take 4 such consecutive 2 days or 8 working days to finish the work.

**(Ans: 4)**

*Estimated Time to arrive at the answer = 15 seconds.*

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