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A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Let's total time=t=10 hrs= 600 min............(i)
total distance travelled=x
Speed=s1=21 km/hr= 0.35 km/min..............................(iii)
s2= 24 km/hr= 0.4 km/min.................................(iv)
600 = [( x/2) / 0.35] + [( x/2) / 0.4]
600 = x/2* [ 2.857 + 2.5 ]
x = 600*2 / 5.357
x = 224 km
10*60=[(x/2)/(21/60)]+[(x/2)/(24/60)]..............convert hrs in min
ans is total journey 1600km
let x is total distance
(1/2)*x/21 + (1/2)*x/24 = 10
x/21+ x/24 = 20
15x = 168*20
x =(168*20)/15= 224 km.
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