Question

A person travels equal distance with speed of 3km/hr ,4 km/hr, and 5 km/hr and takes a total of 47 mins. find the total distance

Answer 1

$\textbf {Hey there, here is the solution.}$

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Let the distance traveled by each part of the journey be x.

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Find the duration of journey with 3km/hr

Duration = x/3 hours

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Find the duration of journey with 4km/h

Duration = x/4 hours

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Find the duration of journey with 5km/h

Duration = x/5 hours

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Convert 47 mins to hours:

47 mins = 47/60 hours

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Form equation and solve x:

x/3 + x/4 + x/5 = 47/60

47/60 x = 47/60

x = 1 km

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Find the total distance traveled:

Total distance - 1 x 3 = 3 km

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Answer: The total distance is 3 km

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⭐$\textbf {Cheers }$⭐

Answer 2

Let the total distance be 3x km 

x/ 3 + x/4 + x/5 = 47/60 

MULTIPLY BY 60 

20x + 15x +12x = 47 

47x = 47 

x = 1 

3x = 3 km ANSWER 

CHECK 

1/3+1/4+1/5 = (20+ 15+ 12) /60 = 47/60 = 47 minutes