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There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.

40 and30

Tutor

Case1 :When both the autos are moving in same direction. Let us assume that both autos are moving towards point B. Let the autos meet at a point C which is ahead of B.Let the distance between B and C be X. Let the auto which starts from point A be named as 1. Let the auto which starts from point... read more
Case1 :When both the autos are moving in same direction. Let us assume that both autos are moving towards point B. Let the autos meet at a point C which is ahead of B.Let the distance between B and C be X. Let the auto which starts from point A be named as 1. Let the auto which starts from point B be named 2. Speed of 1=(70+X)/7.... (1) Speed of 2= X/7.... (2) Case2: When both autos are moving towards each other. Let the 2 autos meet at a point D. Let the distance between A and D be Y. Speed of 1=Y/1....... (3) Speed of 2=(70-Y)/1.... (4) Equating speed of 1 from equation 1 and 3 and Equating the speed of 2 from equation 2 and 4, We get Y=40 X=210 Hence, Speed of auto 1= 40 km/hr Speed of auto 2= 30 km /hr read less

Math Tutor

40 km/h & 30 km/h

Science Teacher

let the speed of the auto at point a is x km/hour and speed of the auto at point b is y km/hour speed= distance / time so distance = speed * time case 1 ) when they are travelling in the same direction .the total distance cover by auto at point a is 70 km higher than the auto at point b when... read more
let the speed of the auto at point a is x km/hour and speed of the auto at point b is y km/hour speed= distance / time so distance = speed * time case 1 ) when they are travelling in the same direction .the total distance cover by auto at point a is 70 km higher than the auto at point b when they meet each other after 7 hours 7x-7y=70 x-y=10 -----(1) case2) when they travel in same direction .the total distance cover by both auto will be 70 km 1x+1y=70 x+y=70 -----(2) by solving equation 1 and 2 2x=80 x=40 km /hour and so y =70-40 y= 30 km /hour read less

7(x-y)=70 , x+y=70 ,x=40,y=30

Coaching Institute

40 and 30

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