slower than the other. If the two cyclists are 165 miles apart after Two cyclists start at the same point and travel in opposite directions. One cyclist travels 7 5 hours, what is the rate of each cyclist? mi Rate of the slower cyclist: h mi Rate of the faster cyclist:

Q: A motorboat traveling with the current went 105 mi in 5 h. Traveling against the current, it took 7…

A: To determine the respective speeds (by solving equations)

Q: A plane travels for 3 hours at 300 Km/hr in the direction of S42∘W. How far west and how far south…

A: Speed of the plane, v = 300 km/hr.The distance covered by the plane in 3 hours, D = vt = 300 x 3 =…

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: Treyvon is a lifeguard and spots a drowning child 30 meters along the shore and 70 meters from the…

A:

Q: You must first plan out your means of travel to Pirate’s Island.  You will be travelling by boat…

A:

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: 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…

Q: A motorboat take 3 take to travel 144 kilometers going upstream. The return trip takes 2 hours going…

A:

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.