Question

a person needs 6 steps to cover a distance of one slab. if he increases his foot length (step length) by 3 inches he needs only 5 steps to cover the slabs length. what is the length of the each slab. 29 inches 31 inches 30 inches 28 inches

Answer 1

90 inches or 7.5 feet

Let the length of each step be x,  

Distance of each slab is 6x (6 steps = one slab) ...(i)

Length of each step is increased by 3 inches so  distance of each step is now x+3

Distance of each slab is 5(x+3) (5 steps = one slab) ... (ii)

Distance of each slab from (i) and (ii) are equal

6x = 5(x+3)

x = 15

Substituting x in (i) or (ii) we get

Distance of each step is 90 inches or 90/12 which is 7.5 feet.

Answer 2

Let The length of each step be x.

Distance of each slab is 6x (6 steps = one slab)... (i)

Length of each step is increased by 3 inches so distance of each step is now x + 3

Distance of each slab is 5(x + 3) (5 steps = one slab)... (ii).

Distance of each slab from (i) & (ii) are equal
6x = 5 (x + 3)
x = 15.

Substituing x in (i) or (ii) we get...

Distance of each step is 90 inches or 7.5 feet.