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CBSE Class 7 Answered

four runners starts a race together with speeds of 4km/h, 5km/h, 6km/h, 10km/h on a 30km long circular track. in what period of time they will meet together?
Asked by shubham0kumar24 | 21 Aug, 2019, 11:06: PM
answered-by-expert Expert Answer
Time required by runners will be
7.5 hrs, 6 hrs, 5 hrs and 3 hrs respectively.
that is 450 mins, 360 mins, 300 mins and 180 mins
 
now they will meet at a time which will be multiple of all the four timings, that is the number will be the LCM
LCM (450,360,300,180)

Prime factorization of the numbers:

450 = 2 × 3 × 3 × 5 × 5
360 = 2 × 2 × 2 × 3 × 3 × 5
300 = 2 × 2 × 3 × 5 × 5
180 = 2 × 2 × 3 × 3 × 5

LCM(450, 360, 300, 180)
= 2 × 2 × 2 × 3 × 3 × 5 × 5
= 1800

1800 mins = 30 hrs
Answered by Arun | 22 Aug, 2019, 11:13: AM
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