Problem 17

Explanation

We will first find the speed of engine A, then calculate the speed of engine B, and finally determine the distance traveled by engine B.

Given:

• Speed of engine A: $v_A$
• Speed of engine B: $v_B = \frac{1}{3} v_A$
• Distance traveled by engine A ($s_A$) = $20\text{ km}$
• Time taken by engine A ($t_A$) = $2\text{ hours}$
• Time taken by engine B ($t_B$) = $3\text{ hours}$

Calculating Speed of Engine A

Speed is defined as distance divided by time ($v = \frac{s}{t}$).

Calculating Speed of Engine B

Since $v_B = \frac{1}{3} v_A$, then:

Calculating Distance Traveled by Engine B

Distance traveled is speed multiplied by time ($s = v \times t$).

Thus, the distance traveled using engine B is $10\text{ km}$.