Question

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?
52 mph; 64 mph
55 mph; 70 mph
92 mph; 104 mph
98 mph; 110 mph

Answer 1

Let the slower train's speed be v mph; the faster is v + 12 mph.
In 2 hours their separation is (v + v + 12)·2 = (2v + 12)·2 = 4v + 24 = 232.
So 4v = 208, v = 52.

Speeds: 52 mph and 64 mph. (First choice.)