Question

Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?

A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles​

Answer 1

Explanation:

2/3 of diatance = 10 miles

3/3 of distance = 10 * (3/2) = 15 miles.

The distance between the houses is 15 miles. (B)

Answer 2

Let the total distance covered= x

Distance covered= 10 miles

According to the question,

2/3 of x= 10

=> 2/3 × x= 10

=> 2x/3= 10

=> 2x= 10× 3

=> 2x= 30

=> x= 30/2

=> x= 15

Bob's house is 15 miles away from Henry's house.