Math, asked by studyurminder, 11 months ago

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

Answered by Anonymous
0

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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