## distance between two stations a and b is 690 kilometre to car starts from a and b towards each other and the distance between them after 6 h

Question

distance between two stations a and b is 690 kilometre to car starts from a and b towards each other and the distance between them after 6 hours is 30 km if the speed of one car is less than the other by 10 km per hour find the speed of each car​

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1 week 2021-09-15T19:12:20+00:00 1 Answer 0 views 0

The speed of the two cars each starting simultaneously from a and b is 50km/h and 60km/h.

Explanation:

Step 1 : Let the speed of one car be x then the speed of the other car will be:

= (x – 10) km/h

Step 2 : Calculate the distance traveled by each car in 6 hours.

Distance = Speed × time

The distance by each car is given by:

(x × 6) and (6 × (x – 10))

= 6x and (6x – 60)

Total distance covered = 6x + 6x – 60 = 12x – 60

From the question the total distance covered by the two is :

= 690 – 30 = 660 km

Step 3 : Equate the two totals and get the value of x.

12x – 60 = 660

12x = 660 + 60

12x = 720

x = 720/12

x = 60 km/h

The speed of the other car is :

= 60 – 10 = 50 km/h

HOPE IT HELPS 🙂