Two parts of a run

Adam can cover a certain distance in 1 hour 24 min by covering two-thirds at 4 km/hr and the rest at 5 km/hr. Find the total distance.

Correct answer:

s =  6 km

Step-by-step explanation:

v1​=4 km/h v2​=5 km/h  r1​=32​≐0.6667 r2​=1−r1​=1−32​=31⋅ 3​−32​=33​−32​=33−2​=31​≐0.3333  t=1:24=1 hr 24 min =1+6024​=1.4 hr=1.4  s1​ = r1​⋅ s=v1​⋅ t1​ s2​ = r2​⋅ s=v2​⋅ t2​ s=s1​+s2​ t=t1​+t2​  s1​/v1​+s2​/v2​=t  r1​⋅ s/v1​+r2​⋅ s/v2​=t s( r1​/v1​+r2​/v2​) = t  s=r1​/v1​+r2​/v2​t​=32​/4+31​/557​​=6 km

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You need to know the following knowledge to solve this word math problem:

algebranumbersUnits of physical quantitiesthemes, topicsGrade of the word problem

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