Question

How much does a watch lose per day, if its hands coincide every $64$ minutes?

• A. $32\frac{8}{11}min.$
• B. $31\frac{8}{11}min.$
• C. $32\frac{3}{11}min.$
• D. $Noneofthese$

Answer 1

The correct option is A $32\frac{8}{11}min.$

$55min.$ spaces are covered in $60min.$

$60min.$ spaces are covered in $(\frac{60}{55}\times 60)min=65\frac{5}{11}min.$

Loss in $64min.=(65\frac{5}{11}-64)=\frac{16}{11}min.$

Loss in $24hrs.=(\frac{16}{11}\times \frac{1}{64}\times 24\times 60)min.=32\frac{8}{11}min$