Ajay starts painting his room sometime between
6 and 7' O clock in the evening. When he finished
painting the room, sometime between 8 and
9' O clock in the evening, he notices that the hours
and minutes hands have interchanged their
positions with what they were when he started
painting. At what time did the paint job get over?
Answers
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Answer:
Method to solve:
2 things you should know:
1. In 1 min ,minute hand moves 6 Degree
2. In 1 min,hour hand moves 0.5 Degree
Let suppose you went market at x past four i.e. 4 hours x minutes
then, minute hand will be at (6x) Degree from origin.
and hour hand will be at (4*30 +x*0.5) Degree i.e (120+0.5x)Degree
Similarly ,you came back at y past seven i.e. 7 hours y minutes
then, minute hand will be at (6y) Degree from origin.
and hour hand will be at (7*30 +y*0.5) Degree i.e (210+0.5y)Degree
And as per the given condition:
6x= 210+0.5y
and 6y=120+0.5x
Solve these equation to get x=36.9 and y=23.03
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