Question

Can someone please explain?

How many times are an hour hand and a minute hand of a clock at right angles during their motion from 1.00 p.m. to 10.00 p.m.?
(Most of the people claim the answer is 18, but shouldn't it be 16? Iďk.)

Help will be much appreciated. ​

Answer 1

16

Explanation:

see answer above

Answer 2

`with \: in \: one \: hour \: \: minute \: \\ and \: hou \: and \: are \: two \: ties \: perpendicular \: \\ between \: 1p \: and10pm \: there \: are \: 9 \: hours \: \\ so \: it \: must \: be \: 9 * 2 = 18 \\ in \: mathamaticlly \: but \: logiclly \: \\ ii \: think \: 16times \\ they \: r \: 1.20 \: 1.55 \: 2.25 \: 3 .00\: 3.30 \: 4.05 \: \\ 4.40 \: 5.10 \: 5.45 \: 6.15 \: 6.50 \: 7.20 \: \\ 7.55 \: 8.25 \: 9.00 \: 9.30 \\ thank \: you`