Question

12. The distance between two towns is 300 km. Two cars start simultaneously from
these towns and move towards each other. The speed of one car is more than the bi
other by 7 km/hr. If the distance between the cars after 2 hours is 34 km, find the
speed of the cars.
​

Answer 1

$\large{\underbrace{\bold{\red{Answer\implies 70km\:per\:hr}}}}$

$\sf\large{Let\:the\:speed\:of\:the\:car\:"B"\:be\:"x"km\:per\:hr.}$

$\sf\large{Then,}$

$\sf\large{speed\:of\:car\:A=(x + 7)km\:per\:Hr}$

$\sf\large{Now,}$$\sf\large{distance\:covered\:by\:car\:B\:in\:2\:Hours = 2x\:km.}$

$\sf\large{and}$

$\sf\large{Distance\:covered\:by\:car\:A\:in\:2\:hours = 2(x + 7)km.}$

$\sf\large{\underline{\underline{\bold{\orange{Given:-}}}}}$

✏$\sf\large{Distance\:between\:the\:cars\:after\:two}$ $\sf\large{hours\:is\:34\:Km\:and\:distance\:between}$$\sf\large{both\:the\:towns\:is\:300\:Km.}$

✏$\sf\large{So,\:distance\:covered\:by\:both\:the\:cars}$ $\sf\large{in\:two\:hours\:moving\:in}$ $\sf\large{ opposite\:direction = 300- 34 = 266\:Km}$

$\tt\large{\red{\implies 2(x + 7) + 2x = 266}}$

$\tt\large{\green{\implies 2x + 14 + 2x = 266}}$

$\tt\large{\orange{\implies 4x = 252}}$

$\tt\large{\purple{\implies x = 63Km\:Per\:Hr}}$

$\sf\large{\underline{\underline{\bold{\red{Therefore,}}}}}$

$\sf\large{\implies Speed\:of\:car\:B = 63Km\:per\:Hr}$$\sf\large{and}$$\sf\large{\implies Speed\:of\:car\:A = 63 + 7}$$\sf\large{\implies = 70Km\:per\:Hr.}$

Answer 2

Step-by-step explanation:

The distance between two towns is 300 km. Two cars start simultaneously from these towns and move towards each other. The speed of one car is more than the other by 7km/hr. lf distance between the cars after 2 hours is 34 km, find the speed of the cars.