Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 35 miles at a speed of 5 mph, while Bob's motorboat traveled 119 miles at a speed of 17 mph. For how long were Niles and Bob traveling?

Question

A.
7 hours
B.
14 hours
C.
12 hours
D.
9 hours

Answer 1

To find out how long Niles and Bob were traveling, we can use the formula:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

For Niles:

• Distance = 35 miles
• Speed = 5 mph

\[ \text{Time}_{Niles} = \frac{35 \text{ miles}}{5 \text{ mph}} = 7 \text{ hours} \]

For Bob:

• Distance = 119 miles
• Speed = 17 mph

\[ \text{Time}_{Bob} = \frac{119 \text{ miles}}{17 \text{ mph}} = 7 \text{ hours} \]

Since both traveled for the same amount of time, the time for both Niles and Bob is 7 hours.

The answer is: A. 7 hours.