Question

If a man travels 65 km in 3 days by walking 7 hours in a day, in how many days will he travel 156
km by walking 8 hours a day​

Answer 1

Answer:

Total dist. travelled by a man = 65 km

Total time taken = 7 1/2× 3 hrs

= 45/2hrs

Speed of man = dist. travelled/ time taken

65/45/2 km/hr

(65×2)/45 km/hr

130/45 km/hr

26/9 km/hr

Now , total dist. to be covered = 156 km

Let the no. of days req. to travel 156km be x days

Total time taken = 8x

Now , Speed of man = 26/9 km/hr

156/8x = 26/9

156×9 = 26 × 8x

156 × 9 = 208x

x = (156×9)/208

x = 6.75

x = 6days 0.75 × 24 hrs

x = 6 days 18 hrs

x = 6 days + 18/24 day

x = 6 days + 3/4 day

x = 6 3/4 days...Ans....

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Answer 2

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Every day he walks 7.5 hrs

So in three days he walks 7.5×3 =22.5hrs

And he travelled 65km in these 22.5hrs

So the speed = distance/time

= 65/22.5 = 2.88km/hr

Speed of the man will remain same,

So time = distance/speed

= 156/2.88 = 54 hrs

Everyday he walks 8hrs, so for 54 hrs, he has to walk 54/8 = 6.75 days