Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 km/hr and the rest at 5 km/hr. The total distance is_.
(a)5 km/hr
(b)6 km/hr
(c)7 km/hr
(d)8 km/hr
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Step-by-step explanation
6 km
Let total distance=D
Distance travelled at 4 km ph speed :
=(2/3) D
Since he travelled rest at 5 km ph
So, Distance travelled at 5 km ph speed
=(1-2/3)D=1/3 D
Total time =1 hr 24 min = (60+24) min
=84/60=21/25
So, Total time :21/15=2/3 /4 D+1/3 /5 D
21/15=2D/12+D/15
84=14D
D=6km
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