Question

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

Answer 1

SOLUTION

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

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

9

8

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}}

Distance Traveled byA+Distancetraveled byB = 595 km

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

9

8

x=595km

⇒\sf{x + \dfrac{8}{9}x = 85}⇒x+

9

8

x=85

⇒\sf{\dfrac{17}{9} x = 85}⇒

9

17

x=85

⇒\sf{x = \dfrac{85 × 9}{17}}⇒x=

17

85×9

⇒\sf\pink{\fbox{x = 45 km/h}}⇒

x = 45 km/h

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

Speed of Automobile (B) = \sf{\dfrac{8}{9}x}

9

8

x = 40 km/h