Question

Thane can skate at an average speed that is six times as fast as his average walking speed. It takes him 48 mins more to travel 36 blocks on foot than on his skates. How fast is his average speed on skates in blocks per minute?

Answer 1

3.75 block per minutes.

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
`(x)/(6) \ minutes`

Time to walk 36 blocks is 36x min.

We know, Number of minutes it take to skate 36 block=
`(x)/(6) * 36= 6x`

∴ We can say,
`36x-48\ minutes= 6x`

subtracting 6x and adding 48 on both side.

⇒
`30x= 48`

cross multiplying

∴ x=
`(48)/(36) = 1.60\ min`

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

∴
`(5)/(8)= 0.625\ block/ min`

Time taken to skate is 6 time faster than walking speed.

∴
`6* 0.625= 3.75\ block/ min`

Hence, Thane´s average speed on skates in blocks per minute is 3.75 block/ min.