Question

How many hours does it take a train travelling at an average rate of $40$mph between stops to travel a miles if it makes n stops of m minutes each?

• A. $\frac{3a+2mn}{120}$
• B. $3a+2mn$
• C. $\frac{3a+2mn}{12}$
• D. $\frac{a+mn}{40}$
• E. $\frac{a+40mn}{40}$

Answer 1

Answer: (A)

$\frac{3a+2mn}{120}$

Time taken by the train at each stop = 'm' minutes

Number of stops = n

Distance travelled = a miles

Average speed of the train = 40 mph

Total time taken = $(\frac{a}{40}+\frac{mn}{60})hours=\left(\frac{3a+2mn}{120}\right)hours$