Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
We have to find time taken by Max to cover the same distance walking at 4.2 km/h
The relation between speed and time is given as:
[tex]speed = \frac{distance}{time}[/tex]
CASE 1:
It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
Let us first find the distance covered
Time taken = 1.8 hours and speed = 3.5 km/hr
[tex]3.5 = \frac{distance}{1.8}\\\\distance = 3.5 \times 1.8 = 6.3[/tex]
Hence distance covered is 6.3 km
Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr
[tex]4.2 = \frac{6.3}{time taken}\\\\time taken = \frac{6.3}{4.2} = 1.5[/tex]
So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours