Based Questions
15. Traffic light at three different road crossings change after every 56 sec, 72 sec and 126 sec respectively. If they
change simultaneously at 9 am at what time will they change simultaneously again? Write the importance of
traffic lights
Answers
Answer:
432 seconds = 7 min 12 seconds
Step-by-step explanation:
Given that traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds respectively.
48 = 2 × 2 × 2 × 2 × 3
72 = 2 × 2 × 2 × 3 × 3
108 = 2 × 2 × 3 × 3 × 3
Taking LCM for,
48, 72 and 108 i.e (2 × 2 × 2 × 2 × 3 × 3 × 3)= 432
Hence,after 7 min and 12 seconds they will blink simultaneously.
Traffic signals have their implications. They help drivers to avoid risks and guide them to safe driving by following the rules.
These signals are placed at vantage points on the sides of the roads, and overhead along the high streets. They intend to alert road users and warn them in places where there are corners, slopes and animals. They also tell the drivers the names of cities, regions, places, and aid stations.
Therefore, each driver and road user has to learn the importance of these signals and understand them.
Answer:
Step-by-step explanation:
For knowing at what time they will change again simultaneously after 9 am, we should find the LCM(56, 72, 126).
56 = 2 X 2 X 2 X 7
= 2^3 X 7
72 = 2 X 2 X 2 X 3 X 3
= 2^3 X 3^2
126 = 2 X 3 X 3 X 7
= 2 X 3^2 X 7
Now,
LCM(56, 72, 126) = 2^3 X 3^2 X 7
= 8 X 9 X 7
= 504
504 seconds = 504/60 minutes
= 8.4 minutes
= 8 minutes 24 seconds
They will change again simultaneously at = 9 : 8 : 24 am