Question

five Bells begin to toll together and toll at intervals of 24 40 72 and 120 seconds after what interval of time will they toll again together ​

Answer 1

Answer:

6 minutes

Step-by-step explanation:

L.C.M. of 24 , 40 , 72 and 120:

>> 360 secs

>> 6 minutes

.°. All the 4 bells will toll again together after 6 minutes.

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Answer 2

After 48 minutes five bells toll again together

Given :

Five bells begin to toll together and toll at intervals of 24, 40, 64 , 72 and 120 seconds

To find :

After what interval to time the toll again together

Solution :

Step 1 of 3 :

Write down the given interval of times

Here it is given that five bells begin to toll together and toll at intervals of 24, 40, 64 , 72 and 120 seconds

Step 2 of 3 :

Find LCM of 24, 40, 64 , 72 and 120

We prime factorise the given numbers

24 = 2 × 2 × 2 × 3

40 = 2 × 2 × 2 × 5

64 = 2 × 2 × 2 × 2 × 2 × 2

72 = 2 × 2 × 2 × 3 × 3

120 = 2 × 2 × 2 × 3 × 5

LCM of 24, 40, 64 , 72 and 120

= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

= 2880

Step 3 of 3 :

Find the time after which five bells toll again together

2880 seconds = 48 minutes

The five bells toll again together after 48 minutes

Complete question : Five bells begin to toll together and toll at intervals of 24, 40, 64 , 72 and 120 seconds After what interval to time the toll again together?

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