A freight train leaves St. Louis traveling at 85 km/hr.
One hour later, a passenger train leaves St. Louis on a parallel track traveling 105 km/hr.
When will the 2nd train overtake the first train?
How far from St. Louis will the passenger train overtake the freight train?
a) Let h= the time the first train spends traveling. Write the equation you would use to find this time.
b)
hours after the first train left, the 2nd train overtakes the first train. (Round to one decimal place.)
c) When the 2nd train catches up, the trains have traveled
kilometers.
a) The equation to find the time the first train spends traveling can be written as:
85(h+1) = 105h, where h is the time the first train spends traveling.
b) To solve for h, we can simplify the equation:
85h + 85 = 105h
20h = 85
h = 4.25
Therefore, 4.25 hours after the first train left, the second train overtakes the first train.
c) To find the distance traveled, we can substitute the value of h into either train's speed. Let's use the first train's speed:
Distance traveled by first train = 85(h+1) = 85(4.25 + 1) = 85(5.25) = 446.25 kilometers
Therefore, when the second train catches up, the trains have traveled 446.25 kilometers.