Question

The distance between two stations  C and D is 230 km. Two motorists start simultaneously from C and D in the opposite directions and the distance between them after 3 hours is 20 km. If the speed of one motorist is less than that of the other by 10 km/hr, find the speed of each motorist.​

Answer 1

Answer:

Speed of first cyclist = X km/hr

speed of other cyclist = (X - 10) km/hr

distance covered by first cyclist

after 3 hours = 3X km

distance covered by other cyclist

after 3 hours = 3(X - 10) km

= (3X - 30) km

according to condition,

3X + 3X - 30 + 20 = 230

6X -10 = 230

6X = 230 + 10

6X = 240

X = 240/6

X = 40

therefore,

speed of first cyclist = X

= 40 km

speed of other cyclist = X - 10

= 40 - 10

= 30 km