How many minutes is it until 5:00 if forty minutes ago it was four times as many minutes past 2 o'clock?
- print Print
- list Cite
Expert Answers
calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
Let the minutes till 5 be x
==> the time is 5:00 - x minutes
==> the time forty minutes ago was: (5:00- x) - 40 ..........(1)
Given the the time forty minutes ago was 4 times as many minutes past 2 ocklock
==> 2 : 00 + 4x ............(2)
The time (1) = time (2):
==> (5:00 - x ) - 40 = 2:00 + 4x
==> 5:00 - 40 - 2:00 = 4x + x
==> 3:00 - 40 = 5x
==> 2:20 = 5x
==> 2 h = 120 min
==> 140 = 5x
==> x = 140/5 = 28m
Then the time is 28 min till 5:00
-==> 5:00 - 28 m = 4: 32
The time now is 4: 32
Related Questions
- Hello. Can you guys help? How many minutes is it until 5:00 if forty minutes ago it was four...
- 1 Educator Answer
- Between 2 & 3 o'clock what is the time when the hour and minute hand are in the same position ?
- 1 Educator Answer
- Researchers find a creature from an alien planet. Its body temperature is varying sinusoidally...
- 1 Educator Answer
We have to determine the present time first before finding how many minutes it is until 5:00.
Let the present time be x in hour.
The minutes till 5.00 = (5-x)60
Then 40 minutes ago the time was 60x-40minutes,
So the time 60x-40 minutes is past 2 :00 by 60x-40-120 = 60x-160.
Therefore (5-x) 60 = 4 (60x - 160).
300-60x = 240x -640
300+640 = (240+60)x
940 = 300x
x = 940/300.
x = 94/30
x = 188/60 = 3:08 time in hr : minutes frmat.
Therefore 5:00 -3:08 = 112 minutes is the minutes till 5:00.
Tally:
Untill 5 oclock the from 3.08 = 112 minutes.
$0 minutes ago the time = 3:08-0:40 = 2:28.
2:28 is 28 minutes past 2:00.
4 imes 0:28 = 112 minutes.
To solve this question it is best to represent all times in minutes.
Thus the time h:m = 60*h + m minutes
Where:
h = hours and m = minutes
Then:
5:00 = 5*60 = 300 minute
2:00 = 2*60 = 120 minutes
Let the present time be x minutes
Then:
Number of minutes until 5:00 = 300 - x
And Number of minutes until 5:00, 40 minutes ago = 300 - x + 40 = 340 - x
And number of minutes past 2:00 at present
= x - 120
It is given that:
Minutes past 2:00 at present
= 4(Number of minutes until 5:00, 40 minutes ago)
==> x - 120 = 4(340 - x)
==> x - 120 = 1360 - 4x
5x = 1480
x = 296 minutes
Converting x in h:m format
Present time = 04:56
Therefore:
Time in minutes until 05:00 = (05:00) - (04:56) = 4 minutes
Student Answers