a man had to walk a certain distance he covered two thirds of it at 4 km per hour and the remaining at 5 km per hour if the total time taken is 42 minutes find the total distance
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Let the total distance be D
Find the time needed for the first part of the journey:
Time = Distance ÷ Speed
TIme = 2/3 D ÷ 4 = 1/6 D
Find the time needed for the second part of the journey:
TIme = 1/3 D ÷ 5 = 1/15 D
Solve D:
Total time taken is 42 mins
42 mins = 42/60 = 7/10 hour
1/6 D + 1/15 D = 7/10
7/30 D = 7/10
D = 7/10 ÷ 7/30
D = 3 km
Answer: The total distance is 3 km
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