Mathacle PSet Algebra, Word Problems, Travel Level Number Name: Date:

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Eugene Perkins
5 years ago
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1 1.) I drove for 3 hours at r mi/h. how far did I go? 2.) Dick drove for h hours at 85 km/h. How far did he go? 3.) How many minutes are in 3 hours? In h hours? 4.) How many days are in 4 weeks? In w weeks? 5.) How many years are in 36 month? In m months? 6.) How many minutes are in 330 seconds? In s seconds? 7.) Vera drove at the rate of r km/h. Kim s average speed was 3 km/h faster. In two hours, Vera traveled how many km and Kim traveled how many km? 8.) A passenger on a train traveling at 135 km/h walks toward the back of the train at a rate of 7 km/h. What is the passenger s rate of travel with respect to the ground?

2 9.) Leaving Westwood at 1:00 p.m., Coretta flew to Bay View. The flight took 1.5 hours, but the time zone for Bay View is 2 hours earlier than Westwood zone. What time was it in Bay View when Coretta landed? 10.) A lion can run 18 mi/h faster than a giraffe. If a lion can run 50 mi/h, how fast can a giraffe run? 11.) At 8:00 p.m., a scavenger hunt started at the town hall. Team 1 drove 5 km east to the gold course, while team 2 drove 12 km west to the beach. By the time team 2 had found some seaweed at the beach, team 1 had already found an orange golf ball and driven 3 km back toward hall. How far apart were the two teams at this point? 12.) Raul drove ¼ mi from Exit 27 to Exit 28 in 18 s. At what rate was he traveling in mi/s? At what rate was he driving in mi/h? 13.) A police helicopter clocked at truck over a stretch of highway 1/5 mi long. The truck traveled the distance in 10s. At what rate was the traveling in mi/s? At what rate was the truck traveling in mi/h? 14.) John drove 450 mi in 6 h. Find John s rate of travel?

3 15.) Bicyclists Brent and Jane started at noon from points 60 km apart and rode toward each other, meeting at 1:30 p.m. Brent s speed was 4 km/h greater than Jane s speed. Find their speeds. 16.) A helicopter leaves Central Airport and flies north at 180 mi/h. Twenty minutes later a plane leaves the airport and follows the helicopter at 330 mi/h. how long does it take the plane to overtake the helicopter? 17.) A ski lift carried Maria up a slope at the rate of 6 km/h, and she skied back down parallel to the lift at 34 km/h. the round trip took 30 min. How far did she ski and for how long? 18.) At noon a private plane left Austin for Los Angeles, 2100 km away, flying at 500 km/h. One hour later a jet left Los Angeles for Austin at 700 km/h. At what time did they pass each other?

4 19.) Kwan hiked up a hill at 4 km/h and back down at 6 km/h. His total hiking time was 3 h. How long did the trip up the hill take him? 20.) Two jets leave Denver at 9:00 a.m., one flying east at a speed 50 km/h greater than the other, which is traveling west. At 11:00 a.m. the planes are 2500 km apart. Find their speeds. 21.) At 9:30 a.m. Andrew left Exeter for Portsmouth, cycling at 12 km/h. At 10:00 a.m. Stacy left Portsmouth for Exeter, cycling at 16 km/h. The distance from Exeter to Portsmouth is 20 km. Find the time when they met. 22.) A bus traveled 387 km in 5 h. One hour of the trip was in city traffic. The bus s city speed was just half of its speed on open highway. The rest of the trip was on open highway. Find the bus s city speed.

5 23.) Jerry spent 2.5 h biking up mount Lowe, rested at the top for 30 min, and biked down in 1.5 h. How far did he bike if his rate of ascent was 3 km/h less than his rate of decent? 24.) If Gina leaves now and drives at 66 km/h, she will reach Alton just in time for her appointment. On the other hand, if she has lunch first and leaves in 40 minutes, she will have to drive at 90 km/h to make her appointment. How far away is Alton? 25.) A ship must average 22 knots (nautical miles per hour) to make its 10-hour run on schedule. During the first four hours bad weather caused it to reduce speed to 16 knots. What should its average speed be for the rest of the trip to maintain its schedule? 26.) For the first 3 h of her trip Ginny Chang drove at her normal speed, but then road repairs forced her to drive 10 mi/h slower than her normal speed. Still, she made the trip in 3 h. find her normal speed.

6 27.) A messenger left a construction site and traveled by jeep at 51 km/h. Forty minutes later it was discovered that she had been given the wrong parcel. How fast must a second messenger travel to overtake her in one hour? 28.) At noon a train leaves St. Louis for Chicago. At 1:30 p.m. a train on a parallel track leaves Chicago for St. Louis. If the later train travels 5 mi/h faster than the earlier one, when will they pass each other? 29.) A bus driven at 49 mi/h for 5 h can cover its route on schedule. During the first 1.5 h, traffic forced the driver to reduce his speed to 42 mi/h. What would the speed of the bus be for the rest of the trip to keep on schedule? 30.) Kate rode her bicycle for 30 minutes at a speed of 16 mph, then walked for 90 minutes at a speed of 4 mph. What was her overall average speed in miles per hour?

7 31.) Bullet trains in Japan have been known to average 240 kilometers per hour. Prior to using bullet trains, trains in Japan traveled at an average speed of 120 kph. If a bullet train traveling from Shin-Osake to Hakata can complete its trip in 2.3 hours less than an older train. Determine the distance from Shin-Osake to Hakata. 32.) Kate rode her bicycle for 30 minutes at a speed of 16 mph, then walked for 90 minutes at a speed of 4 mph. What was her overall average speed in miles per hour? 33.) Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan's distance from his home to his distance from the stadium?

8 34.) Brenda and Sally run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 150 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?

Pg 1 Solve each word problem 1. Marie rode her bicycle from her home to the bicycle shope in town and then walked back home. If she averaged 6 miles

Pg 1 Solve each word problem 1. Marie rode her bicycle from her home to the bicycle shope in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far