Question

it takes max 1.8 hours to walk home from work at a rate of 3.5km/h. how long would it take max to cover the same distance walking at 4.2 km/h

Answer 1

Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

Solution:

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:

`speed = (distance)/(time)`

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

`3.5 = (distance)/(1.8)\\\\distance = 3.5 * 1.8 = 6.3`

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

`4.2 = (6.3)/(time taken)\\\\time taken = (6.3)/(4.2) = 1.5`

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours