Math, asked by prajapatinkp, 9 months ago

The distance between two places A and B on road is 70 kilometers. A car starts from A

and the other from B. If they travel in the same direction, they will meet after 7 hours. If

they travel towards each other they will meet after 1 hour, then find their speeds.​

Answers

Answered by kittyscan056
4

Answer:

hi mate!!!

Step-by-step explanation:

Let the speed of car at place A is x km/h and that of car at place B is y km/h

If they travel in same direction, they will meet after 7 hours, i.e. the difference of distance covered by them in 7 hours will be equal to distance b/w A and B.

As, distance = speed × time, and distance from A to B is 70 km

⇒ 7x - 7y = 70

⇒ x - y = 10

⇒ x = y + 10 eq.[1]

If they, travel in opposite direction, they will meet after 1 hour i.e. sum of distance travelled by both cars will be equal to the distance b/w A and B.

⇒ x + y = 70

Using eq.[1], we have

⇒ y + 10 + y = 70

⇒ 2y = 60

⇒ y = 30

Using this in eq.[1], we have

x = 30 + 10 = 40

Hence,

Speed of car at A = x = 40 km/h

Speed of car at B = y = 30 km/h

 

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Answered by mhanifa
3

Answer:

40 km/hr and 30 km/hr

Step-by-step explanation:

Time in travel in same direction- 7 hrs

Time in travel in opposite directions- 1 hr

Distance- 70 km

Speed of car A- x

Speed of car B- y

=========

Let's compare time in both cases:

70/(x+y)=1  ⇒ x+y=70 (x7) ⇒ 7x+7y= 7*70

70/(x-y)=7 ⇒ 7x-7y=70

Now substitute y from equation,  add up the 2 equations:

7x+7y+7x-7y= 490+70

14x=540

x=560/14

x=40 km/hr

and y =70-x= 30 km/hr

Answer is 40 km/hr and 30 km/hr

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