Question

88. The distance between the two stations A and B is 230 km. Motorist and cyclists start simultaneously from A and B in the opposite directions and the distance between them after three hours is 20 km. If the speed of the cyclist is less than the other by 10 km/hr., find the speed of each?

a. 10 & 20

b. 20 & 30

c. 30 & 40

d. 40 & 30​

Answer 1

Answer;

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Answer is 30 & 40

Answer 2

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★ Explanation ★

Correct answer = [ c ] 30 & 40

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