Question

at what time between 5:30 and 6 will the hands of a clock be at right angles ? ​

Answer 1

Answer:

At 5 o'clock, the hands are 25 min. spaces apart.

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

55 min. spaces are gained in 60 min.

40 min. spaces are gained in

$(\frac{60}{55}*40) min=43\frac{7}{11} min$

∴Required time = $43\frac{7}{11}$min. past 5

The question you asked was:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A. 43 5/11 min. past 5

B. 43 7/11 min. past 5

C. 40 min. past 5

D. 45 min. past 5

The answer is Option B.