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

Answer:

Malory will catch up with Dori in 25 minutes.

Step-by-step 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) $\times$ 20 (minutes)

Dori is walking ahead of Malory by 50$\times$ 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,

$(50\times t)+1000=90\times t$

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

$90t-50t=1000$

$40t=1000$

$t=\frac{1000}{40}$

$t=25\ minutes$

Therefore Malory will catch up with Dori in 25 minutes.