Great Timing
Algebra
Level
3
A man who went out between 3 pm and 4 pm and returned between 4 pm and 5 pm found that the hands of the clock had exactly changed places. When did he go out?
(22 + 58/143) min past 3
20 min past 3
(22 + 57/143) min past 3
(21 + 57/143) min past 3
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1 solution
Between 3 to 4pm Let the min hand move x min Then the hour hand moves 15+x/12 min
Between 4 to 5pm Let the min hand move y min Then the hour hand moves 20 + y/12 min
Form two eqn, solve for x.