Question

Lara and Tim took different routes to travel from Point A to Point C. Lara took the route along A, B, and C. Tim took the route along A, E, D, and C. Their routes with distances and times are shown. A 5 sided figure ABCDE is shown. Point A is labeled Start and Point E is labeled End. AB is 6 miles and 1.5 hours, BC is 2 miles and 1 hour, CD is 6 miles and 1.5 hours, DE is 4 miles and 1.5 hours, and AE is 2 miles and 0.5 hour Which person's average speed is greater? A: Lara's, because her average speed is twice
B:Tim's average speed Lara's, because her average speed is three times Tim's average speed
C:Tim's, because his average speed is 0.6 miles/hour greater than Lara's average speed
D:Tim's, because his average speed is 0.2 miles/hour greater than Lara's average speed

Answer 1

Explanation:

D (approximately)

Step-by-step explanation:

In total, Lara walked 6+2=8 miles in 1.5+1=2.5 hours, and thus her average speed was 8/2.5=3.2 miles per hour.

Similarly, Tim walked 2+4+6=12 miles in 0.5+1.5+1.5=3.5 hours, and thus his average speed was 12/3.5=3.42 miles per hour.