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

Step-by-step explanation:

Given

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

Ursula walks at the rate of $400\ m/h\ or\ \frac{20}{3}\ m/min$

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

Time taken by them to cover 4000 m is

$\Rightarrow \dfrac{4000}{400+600}=4\ h\ or\ 240\ min$

Distance covered by them 15 min before they meet

Ursula $=\frac{20}{3}\times 225=1500\ m$

Velda $=10\times 225=2250\ m$

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

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