Question

8. The distance between two planes A and Bis 300 km. Two riders on scooter start simultaneously from A and B towards each other. The distance between them after 2.5 h is 25 km. If the speed of one scooter is 10 km/h more than the other, find the speed of each scooter in km/h. (1) 50 and 60 (2) 30 and 40 (3)40 and 50 (4) 60 and 70

11th - 12th Class

Maths

Solution

151

4.0 (1 ratings)

( A cdot frac{d 1}{300 k m} d z ) (1)( longmapsto ) [ 4 ] ( x+10) ) ( k m / h ) After ( 2 cdot 5 mathrm{hr} ), distance ( =25 mathrm{km} ) bet ( ^{n} ) them. distances [ begin{array}{c} d 1=(x+10) times 2 cdot 5 d 2=x times 2 cdot 5 therefore 25 eq d 1+d 2=300 25+2 cdot 5 x+25+2 cdot 5 x=300 50+5 x=300 5 x=250 x=50 end{array} ] "o The speeds are ( 50 mathrm{km} / mathrm{h} ) and ( 60 mathrm{km} / mathrm{h} )