Arithmetic Reasoning - Distance, Rate, & Time

How long will it take to reach a town 250 miles away if you drive 50 miles per hour?

5 hours.

A recruiter travels 1,100 miles during a 40-hour workweek. If she spends 2/5 of her time traveling, how many hours does she spend traveling?

16

A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn’t run into any thieves?

22.50 minutes.

The sun is 93 million miles from Earth and light travels at a rate of 186,000 miles per second. How long does it take for light from the sun to reach the Earth?

8.5 minutes.

Bert commutes to and from his office every day, spending a total of one hour on the road. He maintains an average driving speed of 50 mph and follows the same route for both trips. What is the distance between Bert's home and his office?

25 miles.

Kyle ran 3 miles in 17 & 1/2 minutes on Saturday, 4 & 1/2 miles in 22 minutes on Sunday, and 2 miles in 9 minutes on Monday. What was Kyle’s average rate of speed while running?

5.1 minutes per mile.

Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later, her husband, Dave, notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves?

52.5 mph.

A plane left San Francisco at 6:15 pm PST and arrived in Philadelphia at 2:45 am EST. How long was the flight?

5 & 1/2

Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7-hour time period, what was Sofia’s average speed?

65 km/h.

Janet’s old pickup truck can only reach a speed of 45 miles per hour. If she drives at top speed, how long will it take her to reach a city 135 miles away?

3 hours.

If a car travels 360 kilometers in 5 hours, how many kilometers will it travel in 9 hours when driving at the same speed?

648

Rachel is driving to visit her mother, who lives 250 miles away. How long will the drive be, round-trip, if Rachel drives at an average speed of 40 mph?

750 minutes.

Your car uses gasoline at the rate of 21 miles per gallon. If gasoline costs $2.82 per gallon, and you drive for 7 hours at a speed of 48 miles per hour, how much will you pay for gasoline for the trip?

$45.12

An aircraft flies over Boondock Air Force Base at 10:20 a.m. At 10:32 a.m, the plane passes over Sea Side Naval Air Station, 120 miles away. How fast is the aircraft traveling?

600 mph.

Keith is driving from Reno to Kansas City to meet his girlfriend. The distance between the two cities is 1,650 miles. If Keith can average 50 miles per hour, how many hours will it take him to complete his trip?

33 hours.

A balloonist circumnavigated the globe in 13 days, 12 hours, 16 minutes, and 13 seconds. A plane circumnavigates the globe in 4 days, 10 hours, 15 minutes, and 7 seconds. How much longer did it take for the balloon to go around the world?

9 days, 2 hours, 1 minute, and 6 seconds.

If the average speed of an airplane is 525 miles per hour, how many miles can it travel in 6 hours?

3,150

A car is driven 750 miles in 25 hours. What is the rate of the car in miles per hour?

30

A train headed south for Wichita left the station at the same time a train headed north for Des Moines left the same station. The train headed for Wichita traveled at 55 miles per hour. The train headed for Des Moines traveled at 70 miles per hour. How many miles apart were the trains at the end of 3 hours?

375 miles.

Two bicyclists head toward each other from the opposite ends of Main Street, which is six miles long. The first biker started at 2:05 going 12 mph. The second biker began pedaling 4 minutes later at a rate of 14 mph. What time will they meet?

2:21

A recruit reporting to boot camp took a bus from her home to the military processing center in another city. The trip took 14 hours. If she left at 6 a.m., what time did she arrive at the processing center?

8 p.m.

Light travels 744,000 miles in 4 seconds. What is its speed in miles per second?

186,000

On a trip to the beach you travel 200 miles in 300 minutes. How fast did you travel?

40 mph.

How much time is there between 7:45 am today and 3:15 pm tomorrow?

31 & 1/2

A motorcyclist starts a journey at a speed of 40 mph. After traveling for 2 hours, the motorcyclist increases the speed to 60 mph. If the total journey is 200 miles, what is the time taken to complete the journey?

4 hours.

A plane flies at a speed of 400 miles per hour. How long will it take for the plane to travel 2000 miles?

5 hours.

An airplane flies at a speed of 500 mph for 4 hours. How far will it have traveled in that time?

2000 miles.

A car and a bus start at the same time from opposite ends of a 260 km road and travel towards each other. If the car travels at 60 km/h and the bus at 40 km/h, how long will it take for them to meet?

2.6 hours.

A car travels at a speed of 55 miles per hour. How far will the car travel in 4 hours?

220 miles.

A boat travels at a speed of 25 miles per hour. If it travels for 6 hours, how far will the boat have traveled?

150 miles.

A train travels at a speed of 60 miles per hour. How long will it take the train to travel 180 miles?

3 hours.

A car travels from A to B at a speed of 40 mph and returns from B to A at a speed of 60 mph. What is the average speed for the entire round trip?

48 mph.

A train travels at 70 mph. How many miles will it have covered after 3.5 hours?

245 miles.

Two cyclists start from different points and ride toward each other. If one cyclist travels at 15 miles per hour and the other at 20 miles per hour, how long will it take for them to meet if the distance between them is 100 miles?

2.86 hours.

A boat is moving upstream in a river at a speed of 8 km/h, while downstream it moves at 16 km/h. What is the speed of the current in the river if the boat takes 3 hours in total to travel a certain distance upstream and the same distance downstream?

4 km/h.

A boat travels at a speed of 30 knots for 2.5 hours. How far does the boat travel?

75 nautical miles.

A bus travels at a speed of 45 miles per hour. It travels for 4.5 hours. How far does the bus travel?

202.5 miles.

A fast-food delivery car travels at a speed of 40 miles per hour. It takes 1.25 hours to deliver the food. How far is the delivery address from the restaurant?

50 miles.

A ship travels at a speed of 20 knots for 6 hours. How far does the ship travel?

120 nautical miles.

If a train travels at a speed of 50 miles per hour for 3 hours, how long will it take to travel a distance of 250 miles?

5 hours.

A plane travels at a speed of 500 miles per hour for 1.5 hours. How far does the plane travel?

750 miles.

An athlete runs at a speed of 8 meters per second for 25 seconds. How far does the athlete run?

200 meters.

A car travels at a speed of 60 miles per hour for 2 hours. How far does the car travel?

120 miles.

A motorbike travels at a speed of 70 kilometers per hour for 3.5 hours. How far does the motorbike travel?

245 kilometers.

A cyclist travels at a speed of 25 kilometers per hour for 2 hours. How far does the cyclist travel?

50 kilometers.

A bicycle travels at a speed of 12 miles per hour. It travels for 4 hours. How far does the bicycle travel?

48 miles.

If a person rides a bike at a speed of 15 miles per hour for 2 hours, how long would it take them to cover the same distance by running at a speed of 5 miles per hour?

6 hours.

A train travels the first 90 miles at a speed of 45 mph. If the train increases its speed to 60 mph for the remaining distance, how much time will it take to complete a total journey of 210 miles?

4 hours.

A car travels 45 miles at a certain speed. If it had been traveling 10 mph faster, it would have taken 45 minutes less to cover the same distance. What is the speed of the car?

20 mph.

A bus travels at an average speed of 50 mph from City A to City B. On the return trip, the bus travels at an average speed of 60 mph. If the total time for the round trip is 11 hours, how far is City A from City B?

300 miles.

Karen rides her bike at a speed of 12 miles per hour to the park and then walks back home at a speed of 4 miles per hour. If the total time for the trip is 5 hours, how far is the park from her home?

15 miles.

A car travels 120 miles at a certain speed. If the speed of the car was 40 mph, how long did it take to cover the 120 miles?

3 hours.

A boat can travel 20 miles downstream in 2 hours and it can cover the same distance upstream in 4 hours. What is the speed of the boat in still water?

7.5 mph.

A plane flies 1200 miles against the wind in 4 hours but only takes 3 hours to fly back the same distance with the wind. What is the speed of the wind?

50 mph.

A train leaves a station at 10 AM and travels east at a speed of 60 mph. Another train leaves the same station at 11 AM and travels west at a speed of 80 mph. At what time will the trains be 340 miles apart?

1:00 PM.

A boat takes 4 hours to travel downstream a certain distance and 6 hours to travel the same distance upstream. What is the speed of the stream if the speed of the boat in still water is 12 mph?

2.4 mph.

Two cars start from the same point and travel in opposite directions. The first car travels at a speed of 50 mph and the second car travels at a speed of 60 mph. How far apart will they be after 3 hours?

330 miles.