Tutors Answer Your Questions about Travel Word Problems (FREE)
Question 1204580: Betty and Carl live in the same apartment building, work at the same office, and set off for work in the morning at the same time. They must each travel 40 km, and they arrive at work at the same time. Betty travels by car at 40 km/h, parks at the car park, and then walks at 5 km/h the rest of the way to work. Carl takes the bus, which travels at 20 km/h, to the same car park as Betty uses, and then rides his bike the rest of the way at 8 km/h. If they both leave home at 6 a.m., at what time do they arrive at work?
Click here to see answer by mananth(16946)   |
Question 1204688: Rocco and Biff are two koala bears frolicking in a meadow. Suddenly, a tasty clump of eucalyptus falls to the ground, catching their attention. Biff glances at Rocco, who appears to be 15 m away, then over to the eucalyptus, which appears to be 18 m away. From Biff’s point of view, Rocco and the eucalyptus are separated by an angle of 45°. Rocco’s top running speed is 1.0 m/s, but Biff can run one and a half times as fast. Can Biff beat Rocco to the eucalyptus? State any assumptions you make.
Click here to see answer by math_tutor2020(3816) |
Question 1204872: Earthquakes produce several types of shock waves. The most well known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth's crust, P-waves travel at about 6.5 km/s and S-waves move at about 3.5 km/s. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away an earthquake occurred. If the time delay is 33 seconds, how far from the seismic station did the earthquake occur?
(problem from Young and Freedman. University Physics with Modern Physics. Fifteenth Edition)
Click here to see answer by mananth(16946) |
Question 1204872: Earthquakes produce several types of shock waves. The most well known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth's crust, P-waves travel at about 6.5 km/s and S-waves move at about 3.5 km/s. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away an earthquake occurred. If the time delay is 33 seconds, how far from the seismic station did the earthquake occur?
(problem from Young and Freedman. University Physics with Modern Physics. Fifteenth Edition)
Click here to see answer by ikleyn(52750)  |
Question 1204876: A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t) = (0.860 m/s^3)t^2. What is the acceleration of the car when vx = 12.0vm/s?
problem from Young and Freedman. University Physics with Modern Physics. Fifteenth Edition.
Click here to see answer by ikleyn(52750) |
Question 1204951: A car with good tire tread can stop in less distance than a car with poor tread. The formula for the stopping distance d, in feet, of a car with good tread on dry cement is approximated by
d = 0.04v2 + 0.5v,
where v is the speed of the car. If the driver must be able to stop within 74 ft, what is the maximum safe speed, to the nearest mile per hour, of the car?
Click here to see answer by Alan3354(69443)  |
Question 1205096: Jackie wants to meet up with her friend who lives miles away and bring him the cookies that she baked. She and her friend start moving toward each other at the same time. Jackie's walking speed is 3 mph, and her friend's biking speed is 12 mph. 4 minutes after Jackie left the house, her mom notices she forgot the cookies on the kitchen table. She sends Jackie's brother to bring them to Jackie. How fast should Jackie's brother travel to catch up with Jackie before she meets her friend?
Click here to see answer by ikleyn(52750) |
Question 1205096: Jackie wants to meet up with her friend who lives miles away and bring him the cookies that she baked. She and her friend start moving toward each other at the same time. Jackie's walking speed is 3 mph, and her friend's biking speed is 12 mph. 4 minutes after Jackie left the house, her mom notices she forgot the cookies on the kitchen table. She sends Jackie's brother to bring them to Jackie. How fast should Jackie's brother travel to catch up with Jackie before she meets her friend?
Click here to see answer by math_tutor2020(3816) |
Question 1205193: Samantha drove a total of 641.5
miles in two legs of a trip. In the first part of her trip, she drove at a constant speed for 5.5
hours. In the second part of her trip, she drove 10
miles per hour slower, and drove for 6
hours. How fast was Samantha driving in each leg of the trip?
Click here to see answer by ikleyn(52750) |
Question 1205336: problem 1:
A cyclist, riding steadily from his hometown, reached his destination in 4.5 h. He would have taken 45 min less time if he had ridden his bicycle at a speed faster by 3 km/h. Find the distance from his hometown to his destination.
problem 2:
At 9:30 am, car A started its journey and travelled at 65 km/h. At 11:00 am, car B started its journey from the same place and travelled on the same road as car A. If car B , travelling at a constant speed, took five hours to catch up with car A, find the speed of car B.
SHOW LESS
Click here to see answer by Theo(13342)  |
Question 1205336: problem 1:
A cyclist, riding steadily from his hometown, reached his destination in 4.5 h. He would have taken 45 min less time if he had ridden his bicycle at a speed faster by 3 km/h. Find the distance from his hometown to his destination.
problem 2:
At 9:30 am, car A started its journey and travelled at 65 km/h. At 11:00 am, car B started its journey from the same place and travelled on the same road as car A. If car B , travelling at a constant speed, took five hours to catch up with car A, find the speed of car B.
SHOW LESS
Click here to see answer by mccravyedwin(405)  |
Question 1205336: problem 1:
A cyclist, riding steadily from his hometown, reached his destination in 4.5 h. He would have taken 45 min less time if he had ridden his bicycle at a speed faster by 3 km/h. Find the distance from his hometown to his destination.
problem 2:
At 9:30 am, car A started its journey and travelled at 65 km/h. At 11:00 am, car B started its journey from the same place and travelled on the same road as car A. If car B , travelling at a constant speed, took five hours to catch up with car A, find the speed of car B.
SHOW LESS
Click here to see answer by Edwin McCravy(20054)  |
Question 1205546: On a recent trip, a trucker traveled 525 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 30 mph. An additional 45 mi was traveled at the reduced rate. The entire trip took 8 h. Find the rate of the trucker for the first 525 mi.
mph
Click here to see answer by josgarithmetic(39613) |
Question 1205546: On a recent trip, a trucker traveled 525 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 30 mph. An additional 45 mi was traveled at the reduced rate. The entire trip took 8 h. Find the rate of the trucker for the first 525 mi.
mph
Click here to see answer by MathLover1(20849)  |
Question 1205689: A train travels from city A to city B and then to city C. The distance from A to B is 175 miles and the distance from B to C is 130 miles. The average speed from A to B was 50 miles per hour, and the average speed from B to C was 65 mph. What was the average speed from A to C (that is for the entire trip) in miles per hour?
The average speed was how many miles per hour.
Click here to see answer by Theo(13342) |
Question 1205689: A train travels from city A to city B and then to city C. The distance from A to B is 175 miles and the distance from B to C is 130 miles. The average speed from A to B was 50 miles per hour, and the average speed from B to C was 65 mph. What was the average speed from A to C (that is for the entire trip) in miles per hour?
The average speed was how many miles per hour.
Click here to see answer by josgarithmetic(39613) |
Question 1205690: On a merry-go-round that spins counter-clockwise, 9 horses are evenly spaced on the outside perimeter, numbered clockwise. Abe stands next to horse number 1 and starts counting time as the merry-go-round begins to turn. He notices that It takes six seconds for horse number 4 to reach him. How long will it take the merry-go-round to go all the way around once?
Click here to see answer by Theo(13342) |
Question 1205690: On a merry-go-round that spins counter-clockwise, 9 horses are evenly spaced on the outside perimeter, numbered clockwise. Abe stands next to horse number 1 and starts counting time as the merry-go-round begins to turn. He notices that It takes six seconds for horse number 4 to reach him. How long will it take the merry-go-round to go all the way around once?
Click here to see answer by ikleyn(52750) |
Question 1205775: Modern oil tankers weigh over a half-million tons and have lengths of up to one-fourth mile. Such massive ships require a distance of 4.3 km (about 2.7 mi) and a time of 16 min to come to a stop from a top speed of 32 km/h.
(a) What is the magnitude of such a ship's average acceleration in m/s2 in coming to a stop?
(b) What is the magnitude of the ship's average velocity in m/s?
Click here to see answer by ikleyn(52750) |
Question 1205873: The distance light travels in one second (called a light second) is 1.86 x 105. Saturn is about 475 light seconds from the sun. About how many miles from the sun is Saturn? supposed to be written in scientific notation.
Click here to see answer by ikleyn(52750) |
Question 1205982: One pump can fill a tank with oil in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used at the same time, how long will they take to fill the tank?
I tried everything but the answer that I had wrote down from my teacher's answer is 12/7 hours
Click here to see answer by ikleyn(52750) |
Question 1205982: One pump can fill a tank with oil in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used at the same time, how long will they take to fill the tank?
I tried everything but the answer that I had wrote down from my teacher's answer is 12/7 hours
Click here to see answer by math_tutor2020(3816) |
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