SOLUTION: the distance between towns m and m is 280km, a car and a lorry can travel from m to n. the average speed for the lorry 20km/hr less than that of the car. the lorry takes 1 hr 10 mi

Question 1101380: the distance between towns m and m is 280km, a car and a lorry can travel from m to n. the average speed for the lorry 20km/hr less than that of the car. the lorry takes 1 hr 10 min more than the car to travel from m to n.
a) if the speed of the lorry is x km/hr , find x?
b) the lorry left town m at 8:15am . the car left town m later and overtook the lorry at 12:15pm. calculate the time the car left town m.

Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
If you only look at part (a),
(Doing for speed of the car; not the lorry)

                  SPEED        TIME        DISTANCE
CAR               r            t            280
LORRY            r-20          t+1&1/6      280

and using the given time difference,

                  SPEED        TIME        DISTANCE
CAR               r                      280
LORRY            r-20                280
Difference

Solve for r to get the car's speed: .
.
.
if no mistakes in algebra steps done on paper, then
r for the Car,

, for the car;
, for the lorry
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