Answer:
3.75 block per minutes.
Step-by-step explanation:
Given: Thane take 48 minutes more to travel 36 blocks on foot than on his skates.
Thane´s average speed on skate is 6 times as his walking speed.
Lets assume time to walk a block is "x" minutes.
Time taken to skate a block is [tex]\frac{x}{6} \ minutes[/tex]
Time to walk 36 blocks is 36x min.
We know, Number of minutes it take to skate 36 block= [tex]\frac{x}{6} \times 36= 6x[/tex]
∴ We can say, [tex]36x-48\ minutes= 6x[/tex]
subtracting 6x and adding 48 on both side.
⇒ [tex]30x= 48[/tex]
cross multiplying
∴ x= [tex]\frac{48}{36} = 1.60\ min[/tex]
Time taken to walk a block is 1.60 minutes,
Next converting it into speed,
As checking multiples, we get Thane can walk 5 block in 8 mins
∴ [tex]\frac{5}{8}= 0.625\ block/ min[/tex]
Time taken to skate is 6 time faster than walking speed.
∴ [tex]6\times 0.625= 3.75\ block/ min[/tex]
Hence, Thane´s average speed on skates in blocks per minute is 3.75 block/ min.
