Question

Sarah wanted to catch Jim. However , although they started at the same time, Jim traveled at 80 km/h and Sarah traveled at 120 km/h . How much of a head start did Jim have if it took three hours for Sarah to catch him ?

Answer 1

Jim traveled at 80 km/h and Sarah traveled at 120 km/h

It took 3 hours for Sarah to catch Jim.

Let's find out how much distance both covered.

`Jim\colon\; d=r\cdot t=80\cdot3=240\: km`

So, Jim traveled 240 km

`Sarah\colon\; d=r\cdot t=120\cdot3=360\: km`

So, Sarah traveled 360 km

This means that Jim must have started 360 - 240 = 120 km ahead.

Therefore, Jim had a head start of 120 km