Question

If a man travels 65 km in 3 days by walking 7
$\frac{1}{2}$
hours a day, in how many days will he travel 156 km by walking 8 hours a day?​

Answer 1

Answer:

6.75 days

Step-by-step explanation:

days taken=3 days

time walked=7½×3=22.5 hours

distance travelled=65km

speed=distance/time

=65/22.5km/hr

=13/4.5km/hr

new distance=156km

time=distance/speed

=156/(13/4.5)

=156×4.5/13

=54 hours

8 hours in one day

54 hours in 54/8 days

days taken=54/8

=6.75 days

Answer 2

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Step-by-step explanation:

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