Maths
posted by Sindy .
Any help with the following would be greatly appreciated. I don't understand how to use the information given to create the equation.
1) A car travels between A and B at an average speed of 60 km/h. If the car increased its
average speed to 100 km/h it would take 10 minutes less to make the trip. How far is it
between the towns?
2) Car A is travelling along a freeway at 100 km/h when it is passed by car B. If both cars
maintain a constant speed and the end of the freeway is 10 km away, find the speed at
which car B must travel to beat car A to the end of the freeway by 1 minute.

Maths 
bobpursley
1) You start with the definition of average speed.
avg speed= distance/time
60km/hr= 1km/min= distanceab/time
distanceab= 1km/min*time
but also
distanceab= 100km/60min*(time10)
set these two equations equal, solve for time, then, find distance from the original equation.
2) distance= speed*time
10km= 100km60min*time
10km= speedB*(time1)
again, set them equal, solve for time, then solve speedB
Respond to this Question
Similar Questions

Calc
Find a cartesian equation for the curve described by the given polar equation. a. r=2 b. r=3sin pheta c.r^2=sin2pheta I don't understand how to solve for this, especially for r squared. Would someone plz explain how o convert to a … 
Algebra! Help needed!
I'm having a little trouble with this problem... Please try and walk me through the problem, too: #1. A motorboat leaves a dock and travels at an average speed of 15 mi/h toward an island. The average speed on the return trip is 10 … 
Physics
A car travels at an average speed of 83.2 km/h for 1.00 h and then at an average speed of 42.4 km/h during a second hour. What is the car's average speed during the 2.00 h interval? 
Calculus
A car starts from point P at time t=0 and travels at 45 mph. A)write an expression d(t) for the distance the car travels from p. (would it just be y=45x? 
Physics
A car travels 105 km to the north at 65km/hr and then turns around and travels 25km at 80km/hr. What is the difference between the average speed and the average velocity on this trip? 
physics
a car travels first half distance between two places with average speed of 30 km per hour and remaining half with a speed of 50 km per hour what is the average speed of the car is A 37.5KM/hr B 10km/hr //c// 42km/hr D 40km/hr 
physics
Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance DA beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed vA. … 
maths
THE DISTANCE BETWEEN A AND B IS 150KM.A CAR STARTS FROM A AT 10PM AND TRAVELS AT AN AVERAGE SPEED OF 80KM/H TOWARDS TOWN B.A TRANSIT LORRY TRAVELS FROM TOWN B AT 10:15AM TOWARDS TOWN A AT AN AVERAGE SPEED OF 40KM/H.AT WHAT TIME WILL … 
Maths
Paul travels from Rye to Easton at an average speed of 90km/h. He travels for T hours. Mary makes the same journey at an average speed of 70km/h. She travels for 1 hour longer than paul. Work out the value of T. 
PreCalc
The travel time between two cities is inversely proportional to the average speed. A train travels between the cities in 3 hours at an average speed of 65mph. How lone would it take to travel between the cities at an average speed …