Question

18. Two automobiles start out at the same time from cities 595 km apart. If the speed of one is
8/9 of the other and if they meet in 7 hours, what is the speed of each?​

Answer 1

$\sf\bold{\underline{\pink{SOLUTION}}}$

Let the speed of one automobile (A) = x km/h

Speed of other automobile (B) = $\sf{\dfrac{8}{9}x}$ km/h

Total Time Taken = 7 hours

Total distance travelled = 595 km

$\sf\small\orange{\fbox{Distance \:Traveled \:by\: A\: +\: Distance\: traveled \:by\: B = 595 km}}$

$→\sf{7x + 7 ×\dfrac{8}{9}x = 595 \:km}$

$→\sf{x + \dfrac{8}{9}x = 85}$

$→\sf{\dfrac{17}{9} x = 85}$

$→\sf{x = \dfrac{85 × 9}{17}}$

$→\sf\pink{\fbox{x = 45 km/h}}$

Speed of Automobile (A) = x = 45 km/h

Speed of Automobile (B) = $\sf{\dfrac{8}{9}x}$ = 40 km/h