Sam left his school at 3:05 p.m. He walked a speed of 3.2 mph. 15 minutes later, Oliver started running after Sam and caught up with him 10 minutes later. What was Oliver's speed?

1 answer

Let's first calculate the distance Sam walked before Oliver caught up with him.

Sam walked for 15 minutes at a speed of 3.2 mph:
Distance = Speed * Time
Distance = 3.2 mph * (15/60) hours
Distance = 3.2 mph * 0.25 hours
Distance = 0.8 miles

Now, let's find out how long Oliver took to catch up with Sam.

Oliver started running 15 minutes after Sam, which is (15+10) = 25 minutes after Sam left the school.
This is equal to 25/60 = 0.4167 hours.

When Oliver caught up with Sam, he covered the same distance of 0.8 miles.

Let's denote Oliver's speed as X mph.

Oliver's speed = Distance / Time
X = 0.8 miles / 0.4167 hours
X ≈ 1.92 mph

Therefore, Oliver's speed was approximately 1.92 mph.