At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40 mph. Lucy's friend left the beach for 30 minutes (half an hour) later, and drove 50 mph. How long, in hours, did it take Lucy's friend to catch up to Lucy ?

Q: Maria takes a boat upstream for 9 hours. Her return trip downstream only took 6 hours. If the river…

A: Let the velocity of Maria' boat in still water be v miles/hr, and the velocity of the water be vw…

Q: Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from…

A: Let us consider the above diagram - Let Jack is at point A and Diane is at point B. Given that after…

Q: Janelle can't wait to read the newest issue of her favorite comic, The Notorious Ninja, so she plans…

A: Given that Janelle can't wait to read the newest issue of her favorite comic " The Notorious Ninja"…

Q: ex commutes every day from home to school. Most of this drive is on the freeway. One day when he got…

A: Speed = distance travelled/time Let the first speed of Alex =xmiles/hour After hitting traffic he…

Q: you run the first 2 miles of a 5 mile at a rate of 300 yards per minute. Then you run the last 3…

A:

Q: Wilbur left the hardware store and traveled toward the recycling plant at an average speed of 33…

A:

Q: If Mary drove 330 miles in 6 hours at an average speed of 55 miles per hour, how many miles per hour…

A:

Q: Driving from Cleveland to Washington, D.C., Ernie averaged 60 mph for the first 2 hours, 20 mph the…

A: We are told that Ernie averaged 60 mph for the first 2 hours, 20 mph the next hour as there was…

Q: Devontre rode his bike uphill 5 miles and then back downhill. The rate at which Devontre traveled…

A: Let his uphill rate is = x mph So his downhill rate is = x+20  Distance= 5 miles in each case.

Q: at noon a train leaves washington d.c. headed for charleston south carolina, a distance of 260 mi.…

A: First train leaves at time 12:00pm from Washington with speed of 60 mph Second train leaves from…

Q: Conner wants to drive from Tucson to the Grand Canyon, a distance of 338 miles. If he drives at a…

A: Please refer the attached image for complete solution.

Q: Michelle and Robert constructed a wooden bridge for ATVs over a deep creek on the edge of their…

A:

Q: A jet left Portland flying south 7 hours before an Airforce plane. The Air Force plane flew in the…

A:

Q: Elsa and Anna left the castle at 8:00 a.m. to go for a run. Anna was jogging at 6 mph and Elsa was…

A: Given Anna was jogging at 6mph and Elsa was jogging at a rate 2mph slower than Anna. So Anna was…

Q: Two trains left a station on at the same time. One traveled north at a certain speed and the other…

A: Let's find speed of both train.

Q: A ship that is in danger of sinking radios the Coast Guard for assistance. When the rescue  craft…

A:

Q: Charlie's boat travels at a steady 6mph in still water but he is currently traveling up the…

A: Speed of boat in still water = 6 mph Speed of river current = 2.5 mph

Q: Isaac drove at an average speed of 46 mph over six hours. During the first three hours he drove at a…

A: Let Issac drove x miles in the first three hours and drove y miles in the last three hours.…

Q: Morgan and Sass were visiting a friend in Chicago. Morgan has to leave at noon, but Sass did not…

A: We will find out the total time Morgan drove.

Q: It took a salmon 45 seconds to swim upstream to a certain spot. The salmon then turned around to…

A: To find speed of salmon

Q: A courier travels from a warehouse to a manufacturing plant and back in 7.5h total (i.e. the round…

A:

Q: Sam left his house heading east and his brother left two hours later heading west at a rate 5 mph…

A: Let Sam's speed be x . First we formulate and equation in x by using the given data an then solve…

Q: Andy is training for a kayak competition between Molokai and Oahu. He knows his speed is 8 mph with…

A:

Q: If you drive 154 miles and use 11 gallons of gas, what is your rate of gas consumption?

A: In this case , we would calculate rate by driving by distance travelled by the amount of gas needed…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.