Walking 3/4 of his normal speed, Rabi is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and office:

Answer: Option A

1^st method:
$$\frac{4}{3}$$ of usual time = Usual time + 16 minutes;
Hence, $$\frac{1}{3}\text{rd}$$  of usual time = 16 minutes;
Thus, Usual time = 16 × 3 = 48 minutes.

2^nd method:
When speed goes down to
$$\frac{3}{4}\text{th}$$  (i.e. 75%) time will go up to $$\frac{4}{3}\text{rd}$$  (or 133.33%) of the original time.
Since, the extra time required is 16 minutes; it should be equated to $$\frac{1}{3}\text{rd}$$  of the normal time.
Hence, the usual time required will be 48 minutes.