At what time between 7 and 8 o'clock will the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To find the time when the hands of a clock are at a right angle between $H$ and $H+1$ o'clock,we use the formula: $	ext{Minutes} = (5H \pm 15)

Vedclass · Accepted Answer

$21 \frac{9}{11}$ minutes past $7$

Vedclass · Answer

(B) To find the time when the hands of a clock are at a right angle between $H$ and $H+1$ o'clock,we use the formula: $	ext{Minutes} = (5H \pm 15) 	imes \frac{12}{11}$.Here,$H = 7$.Case $1$: $(5 	imes 7 - 15) 	imes \frac{12}{11} = (35 - 15) 	imes \frac{12}{11} = 20 	imes \frac{12}{11} = \frac{240}{11} = 21 \frac{9}{11}$ minutes past $7$.Case $2$: $(5 	imes 7 + 15) 	imes \frac{12}{11} = (35 + 15) 	imes \frac{12}{11} = 50 	imes \frac{12}{11} = \frac{600}{11} = 54 \frac{6}{11}$ minutes past $7$.Thus,the hands are at a right angle at $21 \frac{9}{11}$ minutes past $7$ and $54 \frac{6}{11}$ minutes past $7$ o'clock.

At what time between $7$ and $8$ o'clock will the hands of a clock be at a right angle?

Similar Questions

$A$ watch which gains uniformly is $2$ minutes slow at noon on Monday and is $4$ minutes $48$ seconds fast at $2$ p.m. on the following Monday. When was it correct?

$A$ clock takes $9$ seconds to strike $4$ times. In order to strike $12$ times at the same rate,the time taken is (in $seconds$)

Number of times the hands of a clock are in a straight line everyday is

The first Republic Day of India was celebrated on $January\, 26, 1950$. What was the day of the week on that date?

January $7, 1992$ was a Tuesday. Find the day of the week on the same date after $5$ years,i.e.,on January $7, 1997$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module