# Solving Distance Word Problems

Whenever TV shows talk about math, it's usually in the context of a main character trying but failing miserably to solve the classic "impossible train problem." I have no idea why that is, but time and time again, this problem is singled out as the reason people hate math so much.Make sure that the units match in a travel problem.For example, use the formula DExample 4: Train A heads north at an average speed of 95 miles per hour, leaving its station at the precise moment as another train, Train B, departs a different station, heading south at an average speed of 110 miles per hour.

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For instance, if the problem says you traveled at 70 miles per hour for 15 minutes, then r = 70 and t = 0.25.

Since the speed is given in miles per hour, the time should be in hours also, and 15 minutes is equal to .25 hours.

Solution: Let x be the amount of milk the first cow produced during the first year.

Then the second cow produced \$(8100 - x)\$ litres of milk that year.

If these trains are inadvertently placed on the same track and start exactly 1,300 miles apart, how long until they collide?

"If that problem sounds familiar, it's probably because you watch a lot of television (like me).If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days.How many hectares a day would one tractor plough then?The trains are heading toward one another on a track that's 1,300 miles long.Therefore, they must collide when, together, both trains have traveled a total of 1,300 miles.Have you ever heard of a word problem like this one?"Train A heads north at an average speed of 95 miles per hour, leaving its station at the precise moment as another train, Train B, departs a different station, heading south at an average speed of 110 miles per hour.I got that decimal by dividing 15 minutes by the number of minutes in an hour: Distance traveled (D) is equal to your rate of speed (r) multiplied by the time (t) you traveled that speed.What makes most distance and rate problems tricky is that you usually have two things traveling at once, so you need to use the formula twice at the same time.Because of this rotten luck, he had to push his bike back home at an average speed of 3 mph. Used by arrangement with Alpha Books, a member of Penguin Group (USA) Inc. Problem 1 A salesman sold twice as much pears in the afternoon than in the morning. Then Mary and Lucy picked x\$ and \$x 2\$, respectively.