Question

dori left her house at 12:00 pm and walked at 50 steps per minute and malory left her house at 12:20 and walked 90 steps per minute what time did malory catch up to dori?​

Answer 1

Malory will catch up with Dori in 25 minutes.

Explanation:

Given:-

Dori walking at 50 steps/min.

Malory walking at 90 steps/min.

Now, as Dori left the house 20 mins ahead of Malory and

Dori is walking at speed of 50 steps/min, that means

Dori is walking ahead of Malory by 50 (steps)
`*` 20 (minutes)

Dori is walking ahead of Malory by 50
`*` 20

Dori is walking ahead of Malory by = 1000 steps

Now, let time be t of walking by Dori and Malory,

to calculate the time for Malory to catch up with Dori can be written as,

`(50* t)+1000=90* t`

where, 1000 is the headstart for Dori, 50 and 90 is the walking speed of Dori and Malory respectively in steps/ min.

`90t-50t=1000`

`40t=1000`

`t=(1000)/(40)`

`t=25\ minutes`

Therefore Malory will catch up with Dori in 25 minutes.