if a man Travels 65 kilometre in 3 days walking 15 upon 2 hours a day in how many days will he travel 156 kilometre by walking in 8 hours a day solve the problem by compound variation
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Answer:
If a man travels 65km in 3 days by walking 15/2 hours a day, in how many days will he travel 156 km by walking 8hours a day?
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First of all, let's find the speed at which the man is walking. As you know
Speed = Distance / time
Now distance given is 65km and total time taken to cover these 65km is ( 3 * 7.5 ) = 22.5 hours.
So, speed of man is 65 / 22.5 kmph that is 26/9 kmph.
So we have calculated the speed of man.
Now he has to cover a distance of 156 km. And now he walks for 8 hours a day.
So distance travelled by man in one day walking at speed of 26/9 kmph for 8 hours is ( 26/9 * 8 ) km = 208/9 km.
Therefore number of days he travels is
156/ ( 208/9 ) = 27/4 days that is 6 days and 18 hours.