Ashish and Himanshu go for a morning walk. Ashish walks 2/1/3 km and Himanshu walks 2/2/5 km. Total length of the track is 2/3/4 km. Who walks more? How much more distance did each need to walk to cover the full track?
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Step-by-step explanation:
Ashish walks 2 1/3 km = (3*2+1)/3
=7/3 km
Himanshu walks 2 2/5 km = (5*2+2)/5
=12/5km
LCM of 3 and 5 =15
= 7*5/3*5 ; 12*3/5*3
=35/15 ; 36/15
36-35/15
=1/15 km
= 0.666..km
Therefore Himanshu had walked more by 1/15km or 0
666..km.
Length of full track =4*2+3/4
=11/4 km
LCM of 15 and4= 60
35*4/15*4 ; 36*4/15*4 ; 11*15/4*15
=140/60 ; 144/50 ; 165/60
Distance Ashish has to walk= 165/60 - 140/60
= 165-140/60
=25/60
=5/21 km
Distance Himanshu has to walk = 165/60 - 144/60
= 165-144/60
=21/60
= 7/20 km
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