Anonymous

# How many minutes is it before 12 noon, if 44 minutes ago it was three times as many minutes past 9 a.m.?

How many minutes is it before 12 noon, if 44 minutes ago

Relevance

difference between 9 am and 12 noon= 180 min

let x min ago was the time when 44 minutes ago it was three times as many minutes past 9 a.m.

so 44 min ago when time was x min to 12 noon time was 3x min past 9am

so total min in time interval 9 to 12 are 3x + 44 + x = 4x + 44

hence 4x + 44 = 180

or 4x=136

so x=34 min

so time was 34 min before 12 noon, i.e., 11:26 when 44 min ago it was 3 times as min as many min past 9 am

• Nick J
Lv 4

Convert all times into no. of minutes past midnight, so 9am = 540 and noon = 720.

Let x be the number of minutes before noon it is now,

so current time t = 720 - x.

44 minutes ago (t-44) it was 3x past 9am: t-44 = 540 + 3x.

No we have simultaneous equations to solve:

t = 720 - x

t = 584 + 3x

cancel out t's:

720 - x = 584 + 3x

136 = 4x

x = 34

So it is now 34 minutes before 12 noon.