Question

At What Time Between $5:30$ and $6$ Will The Hands Of The Clock Be Inclined At $90°$?

Answer 1

At $5$o’clock, the hands are $25min.$ Spaces apart.

To be at right angles between $5.30$ and $6,$ the minute hand has to gain $(25+15)=40min$ space.

$55min.$ Spaces are gained in $60min.$

$40min$ spaces are gained in $=\frac{60\times 40}{55}$

$=43\frac{7}{11}$

Therefore, at the time $43\frac{7}{11}min.$past $5$, the hands of the clock are inclined at $90°.$