Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 899414: Before starting out on a road trip you fill the gas tank with 12 gallons of gas. After driving 81 miles you check the gas gauge and know that you have 9 gallons left. What is your rate in MPG? How many miles can be driven on 4 gallons? How many miles would you have driven if there was only 5 gallons left in the gas tank?
Click here to see answer by ewatrrr(24785)  |
Question 898881: You are planning a trip that will require you to travel 780 miles. You figure that you will average 65 miles per hour driving and 260 miles per hour flying. You also figure that you will drive twice as many hours as you fly. How long will you drive?
Drive 12hrs, Fly 3hrs...
65x6=390...780-390=390...??????
65x8=520...780-520=260...??????
Click here to see answer by Fombitz(32388)  |
Question 899609: At 8:00am, Catherine leaves on a trip at 45 mi/h.
One hour later, Max decides to join her and leaves along the same route, traveling at 54 mi/h. When will Max catch Catherine?
Here's what I did:
Distance of Catherine(c)=Distance of Max(m)
c=45(t+1)
m=54t
45(t+1)=54t
45t+45=54t
-45t. -45t
45= 9t
T= 5
So the time Max catches up with Catherine should be 1pm?
But I'm worried this might be incorrect
Click here to see answer by ewatrrr(24785)  |
Question 899611: A passenger jet travels a distance of 2400 km in 4 hours. It lands at an airport for half an hour. The jet takes off again and continues traveling a distance of 1800km in 2.5 hours. Calculate the average speed.
Click here to see answer by ewatrrr(24785)  |
Question 899643: A boy can row a boat at a constant rate of 5 mi/hr in still water, as indicated in the figure. He rows upstream for 24 minutes and then rows downstream, returning to his starting point in another 16 minutes. (Round your answers to two decimal places.)
(a) Find the rate of the current.
mi/hr
(b) Find the total distance traveled.
mi
upstream= 5-x mi/hr
downstream= 5+x mi/hr
Click here to see answer by josgarithmetic(39613) |
Question 899679: On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mph relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mph. Find Rita's paddling speed in still water and the speed of the river's current.
Click here to see answer by josmiceli(19441)  |
Question 899640: A salesperson purchased an automobile that was advertised as averaging 27 mi/gal in the city and 38 mi/gal on the highway. A recent sales trip that covered 1192 miles required 36 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Click here to see answer by josgarithmetic(39613) |
Question 899640: A salesperson purchased an automobile that was advertised as averaging 27 mi/gal in the city and 38 mi/gal on the highway. A recent sales trip that covered 1192 miles required 36 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Click here to see answer by richwmiller(17219)  |
Question 899640: A salesperson purchased an automobile that was advertised as averaging 27 mi/gal in the city and 38 mi/gal on the highway. A recent sales trip that covered 1192 miles required 36 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Click here to see answer by MathTherapy(10549)  |
Question 899744: A vehicle leaves a station at noon heading for a destination. an hour later a second vehicle traveling 10 mph faster leaves the same station. by 4:00 pm the first vehicle reaches it's destination, and the second is still 10 miles away. how fast is each vehicle?
Click here to see answer by mananth(16946)  |
Question 899789: Erin goes off on a long bike ride averaging 10km/hr. One hour later her brother Alistair starts chasing her at 16km/hr. How long will it take Alistair to Erin.
Okay so I have carefully looked at this and i have a feeling it may something to with simultaneous equations. I know that both would fit on a graph at a set gradient but i dont know what figures to use where and therefore cant get to the actual equations yet. Once i work out my equations I am all good with solving the question. Please this is a question I saw on my study sheet so I dont just need the answer but to understand how to do it
Click here to see answer by mananth(16946)  |
Question 899936: A freight train left the station and traveled north at an average speed of 28.6 mph. A passenger train left 2.7 hours later and traveled in the same direction but with an average speed of 38.5 mph. Find the number of hours the freight train traveled before the passenger train caught up.
Click here to see answer by ewatrrr(24785)  |
Question 900076: Two trains leave stations
468
miles apart at the same time and travel toward each other. One train travels at
85
miles per hour while the other travels at
95
miles per hour. How long will it take for the two trains to meet
Click here to see answer by stanbon(75887) |
Question 900177: Steve begins walking towards kevins house at 3 mph. Kevin leaves his house at the same time and walks toward steves house on the same path at a rate of 2 mph. How long will it take before they meet if the distance between the houses is 4 miles
Click here to see answer by richwmiller(17219)  |
Question 900177: Steve begins walking towards kevins house at 3 mph. Kevin leaves his house at the same time and walks toward steves house on the same path at a rate of 2 mph. How long will it take before they meet if the distance between the houses is 4 miles
Click here to see answer by lwsshak3(11628) |
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