Question

The traffic light at three different road crossing change after every 24 seconds, 36 seconds, and 72 seconds respectively. If they change simultaneously at 9 p.m. at what time will they change simultaneously again?​

Answer 1

*Question:—

→ The traffic light at three different road crossing change after every 24 seconds, 36 seconds, and 72 seconds respectively. If they change simultaneously at 9 p.m. at what time will they change simultaneously again?

*Answer:—

• 09 : 06 : 00 am

Step by Step Explanation:—

Given,

→ The traffic light at three different road crossing change after every 24 seconds,36 seconds and 72 seconds, respectively.

So,

Let us take the LCM of the given time that is 48 seconds, 72 seconds, 108 seconds

⇒ 36 = 2 × 2 × 2 × 2 × 3 = 2⁴ × 3

⇒ 60 = 5 × 3 × 2²

⇒ 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

Hence,

LCM of 48, 72 and 108 is 2⁴ × 3³ = 360 seconds.

Hence,

They will change after 360 seconds i.e. 6 minutes 12 seconds.

The traffic lights will change after:—

• 9 am + 6 minutes
• 09 : 06 : 00 am

$☑ Vikramjeeth$

Answer 2

Step-by-step explanation:

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