26. Find at what time between 8 and 9 o’clock will the hands of a clock be in the same straight line but not together.
Answer:
At 8 o’clock, the hour hand is at 8 and the minute hand is at 12, i.e. the two hands are 20 min. spaces apart.
To be i the same straight line but not together they will be 30 minute spaces apart. So, the minute hand will have to gain (30 - 20) = 10 minute spaces over the hour hand.
55 minute spaces are gained in 60 min.
10 minute spaces will be gained in [60/55 * 10] min. = 10 10/11 min.
∴ The hands will be in the same straight line but not together at 10 10/11 min. past 8.
