Projectile with an initial velocity
The height in feet of a projectile with an initial velocity of 160 feet per second and an initial height of 55 feet is a function of time t, in seconds, given by h(t)= -16t^2+160t+55. Determine the maximum height of the projectile.
Expected delivery within 24 Hours
To deliver a package, a messenger should travel at speed of 60 miles per hour on land and then employ a motorboat whose speed is 20 miles per hour in still water.
To deliver a package, a messenger should travel at a speed of 60 miles for each hour on land and then employ a motorboat whose speed is 20 miles per hour in still water.
A boat goes up stream 30 miles and down stream 44 miles in 10 hours. Again it goes up stream 40 miles and down stream 55 miles in 13 hours. Find the rates of the stream and of the boat.
John and Tony start from same place at the same time and head for the town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find the speed of each.
A motorist traveled along the straight road from Town A to Town B at 70 km/h. A motorcyclist traveled from Town B to Town A at 80 km/h. Both started journeys at same time and traveled upon the same road.
Cyclist A took 2 hours to travel from Town X to Town Y. Cyclist B took 45 minutes less to cover the same distance as he traveled at a speed faster by 3 km/h. Compute the distance from Town X to Town Y.
At the beginning of a walk, Roberto and Juanita are 5.5 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk toward each other, they meet in 1 hour. What are their speeds?
A plane flies 465 miles with the wind and 345 miles against the wind in the same length of time. If the speed of the wind is 20 mph find the speen of the plane in still air.
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