The distance between New York and London is 3469 miles. If an airplane has a cruising speed of 350 mph and a tail wind of 50 mph, how many miles out will it reach the point of no return? (A tail wind is a wind blowing in the same direction as the airplane. The point of no return is the point on the flight where it will take the same amount of time to fly on to the destination as to fly back to the starting point.) Round answer to one decimal place.

Draw a picture for each situation and solve for the missing part.

Two cyclists, 54 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist? a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. b. What is the speed of the faster cyclist? mi/hr

Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo.Suppose it takes about 2.5 seconds to hear the echo. How far away is the canyon wall, in feet

Two cyclists, 72 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 3 hours later, what is the speed (in mi/h) of the faster cyclist? a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. b. What is the speed of the faster cyclist? mi/hr

You must first plan out your means of travel to Pirate’s Island.  You will be travelling by boat through a secret underwater tunnel.  The distance to the island is 180 km.  When travelling downstream the trip takes 2 hours but the return trip upstream takes 3 hours.  Determine the speed of your boat and the speed of the current to one decimal place.

Samila is sitting under her tarp at the ocean and decides to walk to the snack shack. She can walk 1.7 feet per second in the sand and 2.4 feet per second on the sidewalk. Her tarp is 25 feet away from the nearest point B along a straight boardwalk. The snack shack is 87 feet away from point B. (So the distance from B to C is 87 feet). Sidewalk Snack shack If she walks in the sand along a straight line to the sidewalk and then walks the rest of the way on the sidewalk, find an expression that gives the total time to reach the snack shack in terms of x, the distance from B to where she first reaches the sidewalk. T(x) = Find the minimum time it takes for Samila to reach the snack shack. (I'm looking for the TIME here.) DO NOT USE CALCULUS TO DO THIS. Minimum TIME required to get to snack shack = seconds. (Round to the nearst second)

Write the complete solution to the given problems. Use one variable only. A boat goes downstream 150 km in 5 hours and upstream for the same distance in 6 hours. Find the speed of the boat in still water and that of the water current.

As Sally and George practice for the SAT, their scores on practice tests rise. Sally's current score is 850, and it is rising by 10 points per week. On the other hand, George's current score is 570 and is growing by 50 points per week. When will George's score catch up to Sally's? a. b. If the SAT test is in 12 weeks, who will score highest? Cor

You run along a path at a constant speed of 4.7 mph. How far do you travel in 1.7 hrs? In 3.8 hours?