Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 637781: Syracuse and New York are 240 miles apart. One car left Syracuse for New York, averaging 65 mph. At the same time, another car left New York for Syracuse, averaging 55 mph. How far from Syracuse did the cars pass each other?
Click here to see answer by lwsshak3(6494) |
Question 637973: A bus is 13 kilometers from town, going away at 80km/h. At the same moment a car leaves town going the same direction as the bus, at the same speed.
x = number of hours the car and bus have been going
80x = car's distance from town
13 + 80x = bus's distance from town
After how long will the bus's distance be twice the car's distance?
I already know that it will happen when the bus is 26 km from town, and the car is 13 km from town, meaning they've each traveled 13km. At 80km/h this means it will happen at 13/80 of an hour, or 9.75 minutes. But I can't figure out how to write an algebraic equation showing this. Here is what I tried, and I get a negative number:
80x = 2 * 80x + 13
80x - 13 = 160x
-13 = 80x
-13/80 = 80x/80
Click here to see answer by josmiceli(9671)  |
Question 638005: The speed of light is 9.84 x 108 feet per second. How long does it take light to get from Sun to Earth which are 92,955,887.6 miles apart. (Convert miles to feet first: 1 mile = 1600 meters, 1 meter = 3.3 feet)
Select one:
8 minutes 19 seconds
7 minutes 19 seconds
5 minutes 19 seconds
6 minutes 19 seconds
Click here to see answer by solver91311(16877)  |
Question 638007: Ryan left the science museum and drove south. Gabriella left the science museum three hours later driving 42 km/h faster than Ryan in an effort to catch up with him. After two hours Gabriella finally caught up. Find Ryan's average speed.
Click here to see answer by solver91311(16877)  |
Question 638023: The distance between city A and city B is 100 km. At 7 AM, a car carrying bananas left from city A to city B, and at the same time, a bike rider left from city B to A. They met at 8:40, and immediately after they both continued to their destination. The car arrived at city B, waited there for 55 minutes, and left back to city A. At 11 AM, the car passed the bike rider that was still on his way to city A. The bike and car's speeds did not change during the drive. What were their speeds?
Click here to see answer by DrBeeee(378) |
Question 638073: Dave and Kyle live five miles apart. They decide to meet for dinner in one-half hour at a diner that is located between them. They leave their homes at the same time and Dave walks two miles per hour faster than Kyle. How fast does each walk if they both arrive at the diner in exactly the one-half hour?
Thanks
Click here to see answer by Theo(3458)  |
Question 638269: John drives a car from Statesville NC to Wilmington NC. During the first part of the trip he drove at a rate of 60 mph, but later traffic was very heavy and in the second part of the trip he could only drive at a rat of 40 mph. If it is 240 miles from Statesville to Wilmington and if the whole trip takes 5 hours, how far does John drive at 40 mph and how far does he drive at 60 mph?
I really want to understand exactly how to do this. If you could please break it down simple so I can understand it and be able to "click" in my brain.
Thank you!
Click here to see answer by MathTherapy(1423)  |
Question 638272: You left your house driving at 40 mph and your car broke down. You had your bike so you rode all the way home at 10 mph. The entire trip took you four hours. How far from your house did you break down?
Please break this down as simple as possible. I want to get it to "click" in my head so I can get it. Thanks!!!
Click here to see answer by htmentor(789)  |
Question 638443: Two contestants run a 440-yard course. The first wins by 4 seconds when given a head start of 200 feet. They finish together when the first is given a head start of 40 yards. Find the speed of each in feet per second.
I tried to solve by using the formula D (distance)= s (speed) x t (time).
But I come up with two equations for each situation. Converting yards to feet: 440yards=1320 feet:
runner #1: s(t-4)=1120 (wins by 4 seconds)
runner #2: s(t)=1320
and for the second situation:
runner #1: s(t)=1200 (given a 40 yard=120feet head start: 1320-120=1200 feet).
runner #2 s(t)=1320
then solving for s: s=1320/t and substituting 1320/t(t-4)=1120 and solving for t, 1320t-5280=1120t, t=26.4 secs, then s=1320/t and s=1320/26.4= 50ft/sec.
Now, obviously a human cannot run at that speed, so this does not seem like a plausible answer, and I cannot figure out why I have four equations, I also tried to use different combinations but this didn't work either. So, I trust someone with better mathematical acumen can come up with a better solution. Thank you so kindly for trying to solve this problem. I look forward to the correct solution and appreciate your time and assistance.
Click here to see answer by MathTherapy(1423)  |
Question 638441: Can you please help me sove this problem? It is, "Matt traveled to his friends house and back. The trip there took 4 hours, the trip back took 6 hours. He averaged 20 mph faster on the trip there then on the trip back. Find his average speed on the out going trip."
I pulled out all the information that I could like what it's really asking and all the times and the mph. But then I got stuck. I've had problems with word problems for awhile but especially time and mixtures
Click here to see answer by lwsshak3(6494) |
Question 638020: At the same time, two hikers took off, one from city B to city A and the other from city A to city B. They hiked the same distance and their speeds were constant. They met on the way, and it was revealed that the hiker from city B to city A traveled two km more than the other hiker. This hiker arrived to city A 40 minutes after the two met, and the hiker from city A arrived to city B an hour and a half after they met. What is the distance of the trail?
Click here to see answer by ankor@dixie-net.com(15649)  |
Question 638031: The distance between city A and B is 28 km. Two hikers left from each city (One from city A to city B and the other from city B to city A) heading towards each other at the same speed. The hiker from city A rested for an hour after having walked 9 km and then continued at a speed greater than 1 km/hour than his previous speed, then rested again 4 km away from city B. There he met the hiker from city B, who walked at a constant speed without resting until the two met. What were the speeds of the two hikers?
Click here to see answer by ankor@dixie-net.com(15649)  |
Question 638504: Kate runs twice as fast as she walks. On her way to school, she walks for twice the length of time as she runs. In this way she takes 20 minutes to get there. On her way home, she runs for twice the length of time as she walks. How long does she take to get home?
Click here to see answer by ankor@dixie-net.com(15649)  |
Question 638920: Please help me solve this word problem. When Chiko 'volunteers' for the army, he says that the ride on the bus lasted 'endless' hours. If the truck he was in was moving at a rate of 30 km/hr and the bus ride lasted for 13 hours, how far did the soldiers take him from home? How far in miles?
I think I divide 13 into 30 which equals 0.43333 but that doesn't make sense..
please e-mail me back at twogunsdown@ymail.com... thank you.
Rehyna
Click here to see answer by ankor@dixie-net.com(15649)  |
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