Question

Ursula and Velda live 4 km apart. They leave their homes at the same time, walking towards each other. If Ursula walks at a rate of 400 m/h, and Velda walks at a rate of 600 m/h, how far apart are they 15 minutes before they meet (in m)?

Answer 1

Answer: 250 m

Explanation:

Given

Distance between Ursula and Velda house is 4 km or 4000 m

Ursula walks at the rate of
`400\ m/h\ or\ (20)/(3)\ m/min`

Velda walks at the rate of
`600\ m/h\ or\ 10\ m/min`

Time taken by them to cover 4000 m is

`\Rightarrow (4000)/(400+600)=4\ h\ or\ 240\ min`

Distance covered by them 15 min before they meet

Ursula
`=(20)/(3)* 225=1500\ m`

Velda
`=10* 225=2250\ m`

The total length covered by them is
`=1500+2250=3750\ m`

They are
`4000-3750=250\ m` apart before they meet