# A Light was Seen at Intervals of 13 Seconds. It was Seen for the First Time at One Hour 54 Minute and 50 Seconds A.M and the Last Time at 3 Hours 17 Minutes and 49 Seconds A.M. How Many Times was the Light Seen?

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 5

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## Explanation

• A light was seen at intervals of 13 seconds.
• It was seen for the first time at one hour 54 minute and 50 seconds A.M.
• And the last time at 3 hours 17 minutes and 49 seconds A.M.

First, we will change â€śone hour 54 minute and 50 secondsâ€ť (1 x 3600 + 54 x 60 + 50 = 6890 seconds) and â€ś3 hours 17 minutes and 49 secondsâ€ť (3 x 3600 + 17 x 60 + 49 = 11869) into seconds.

Now; we have a formula

an = a1 + (n â€“ 1)d ___________ (i)

an = 11869 seconds

a1 = 6890 seconds

d = 13 seconds (given)

By putting the value in this equation; we can easily find out the value of n.

## To Find

How many times was the light seen = ?

## Solution

1 h 54 min 50 sec = 1 x 3600 + 54 x 60 + 50 = 6890 seconds

3 h 17 min 49 sec = 3 x 3600 + 17 x 60 + 49 = 11869 seconds

Now;

an = a1 + (n â€“ 1)d

an = 11869 seconds

a1 = 6890 seconds

d = 13 seconds (given)

By putting the values;

11869 = 6890 + (n â€“ 1)13

11869 â€“ 6890 = (n â€“ 1)13

4979 = (n â€“ 1)13

4979/13 = n â€“ 1

383 = n â€“ 1

383 + 1 = n

384 = n

How many times was the light seen = 384 answer

## Conclusion

A light was seen at intervals of 13 seconds. It was seen for the first time at one hour 54 minute and 50 seconds A.M and the last time at 3 hours 17 minutes and 49 seconds A.M and 384 times the light was seen in total.

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 7

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