6. A man takes 1 h 20 min to cover a distance of 8 km.
(i) How far does he go in 30 s? (ii) How much time will he take to walk 6.5 km?
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i) 1 hr 20 mins = 60*60 + 20*60 = 60 (60+20) = 60 * 80 = 4800 seconds
as, 8 km = 4800 secs
so, 1 second= 8/4800 = 1/600 km
therefore 30 secs= 1/600 * 30 = 1/60*3 = 3/60 = 1/20km
now,
since 1/20 = 5/100
5/100 km= 0.05 km
hence, the man can go 0.05 km far in 30 secs
ii) 1 second = 1/600 km
1 km= 1/ (1/600) = (1*600)/ 1 = 600 seconds
now, 600 seconds= 600/60 = 10 mins
so, the man will take 10 mins to walk 1 km
now, 10* 6.5= 65
hence, the man will take 65 mins to walk 6.5 km
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